# Understanding Brake Proportioning

> Master brake bias with Flyin' Miata.  Learn how a brake proportioning valve works, how to adjust front-to-rear pressure, and optimize your stopping power.

Source: https://help.flyinmiata.com/en_us/brake-bias-explained-Bk23mXe0eg

Last updated: 2026-05-21T16:32:02.297Z

  

The term "brake proportioning" is the method of controlling the balance of hydraulic pressure between the front and rear brakes to maximize braking power. Proper proportioning ensures balanced, predictable braking performance and helps prevent premature lockup - especially in the rear.

Every car already has some form of proportioning built into its brake system, but when brake components or vehicle balance are changed, an adjustable proportioning valve may become necessary to fine-tune brake bias.

  

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##   
Why Brake Proportioning Matters

  

When a car brakes, the weight transfers forward. This increases the load (and traction) on the front tires while decreasing it on the rear. Because of this weight shift:

*   The front brakes do most of the work and can handle more pressure. 
*   The rear brakes must be limited to prevent them from locking up under a lighter load.

If the rear brakes lock before the fronts, the car can become unstable and spin. If the fronts lock too soon, the overall braking distance increases, and steering control is lost. Proper proportioning strikes the correct balance between the two.

  

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##   
How Brake Proportioning Works

  

Brake proportioning valves are devices that limit hydraulic pressure to the rear brakes once a preset threshold is reached. Before that point, front and rear pressures increase together; after the “knee point,” the rear pressure rises more slowly. 

###   

Phase

Description

**Below knee point**

Rear and front pressures increase equally.

**At/above knee point**

The valve begins to restrict rear pressure, flattening the pressure curve.

**Result**

Front brakes continue to build full pressure, while rears are limited to maintain balance.

  

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)  

* * *

##   
Proper Installation: Rear Circuit Only

  

An adjustable proportioning valve should always be installed in the **rear** brake line, between the master cylinder and the rear brakes.

This ensures you’re adjusting the balance, not the total brake force. The fronts must always receive full, unrestricted pressure for safe operation. If installed in the full system or front circuit, it would reduce total braking force, which is dangerous and ineffective for achieving the correct front/rear balance.

**The stock proportioning valve must be removed** or bypassed when adding an aftermarket adjustable one. If both are left in the system, the factory valve will still dominate pressure reduction, and the new adjustable valve will have little or no effect.

  

**Stock (non-adjustable) Proportioning Valve  
**

**Wilwood Adjustable Proportioning Valve  
**

![](https://cdn.kustomerhostedcontent.com/media/5eaadd5b7ea1da00197e0989/17d776bd9e562b71b41399924c89d675.jpg)

  

* * *

##   
When to Adjust Brake Proportioning

  

You may need to re-evaluate brake bias if:

*   You’ve installed a big brake kit or mixed components (e.g. calipers, rotors) from different vehicles. 
*   The vehicle weight distribution has changed (e.g., engine swaps, stripped interiors). 
*   You’re setting up for track use with stickier tires and higher brake loads. 
*   The car exhibits rear-end instability or early rear lockup under braking.

Drivers who switch between street tires and track tires, especially those who drive to the track on one set and swap to grippier tires before lapping, may find their ideal brake bias shifts noticeably.

Street tires have lower overall grip and tend to reach their traction limit sooner. Under hard braking, they can trigger rear lockup more easily, requiring less rear pressure (more front bias). Track tires can handle much higher loads and delay lockup. With these, you can usually add a bit more rear brake pressure for balanced braking without instability.

Because proportioning valves don’t automatically adapt to tire grip, many track drivers keep a baseline street setting and then adjust the valve slightly at the track to match their higher-grip setup. Just remember to reset it before the drive home if you swap back to street tires.

A proportioning valve can also be installed in the interior for quick on-the-fly adjustments.  This does require running more brake tubing, flaring the ends to connect them to existing brake hard lines, and drilling holes through the chassis to run the additional lines.

  

* * *

##   
How to Adjust (General Guidance)

  

The goal is to bring the front and rear braking effort as close together as safely possible, without the rear locking up first. Because conditions (tires, weight, surface, etc.) constantly change, the ideal setup usually has the fronts locking up _just before_ the rears**.**

**Start Safe:** Begin with the valve set for more _front bias_ (less rear pressure). This gives you a stable baseline and prevents rear lockup while you dial it in.

**Perform Controlled Tests:** Use a safe, empty, straight stretch of pavement. Apply firm braking from moderate speed and gradually increase rear pressure one small adjustment at a time.

**Watch for Rear Lockup:**

*   If the rear wheels lock up first, you’ve gone too far. Back off rear pressure slightly. 
*   If the fronts lock while the rears never do (even with more brake pedal pressure), add a little more rear pressure.

You’re looking for a point where the fronts begin to lock just before the rears under maximum straight-line braking. That balance ensures both stability and maximum stopping power. This can be hard to tell from the driver's seat, so having a second set of eyes from outside the car can help.

**Confirm with Real Conditions:** Once you find your baseline, recheck it under different loads (fuel, passengers, gear) or surfaces, as brake bias can shift with weight distribution.

Always test adjustments on a closed course or empty area.

  

* * *

  

Need a visual aid? Both our favorite Canadian and Canadian cosplayer covered this same topic on our YouTube channel: [Brake Proportioning: THE BASICS (FM Live) with Mike Usrey](https://www.youtube.com/watch?v=rTbqWLlS1iU), and [Brake Proportioning: Deeper Dive (FM Live) with Keith Tanner](https://www.youtube.com/live/Wj0QgX5Fiyo?si=SIeSIQ-52PoibOuX).
