Home / 284.29-392.32-166.35

Finding the Fourth Proportional to 284.29, 392.32 and 166.35

Calculator

Solution

The fourth proportional to 284.29, 392.32 and 166.35 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 392.32 = 166.35 : x
  2. Step 2: Convert to fraction form
    284.29/392.32 = 166.35/x
  3. Step 3: Cross multiply
    284.29x = 392.32 × 166.35
  4. Step 4: Simplify right side
    284.29x = 65,259.64
  5. Step 5: Solve for x
    x = 65,259.64/284.29
  6. Step 6: Final answer
    x = 229.56

Related Problems

Find fourth proportional to 142.14, 196.16 and 83.17
Half scale
Find fourth proportional to 568.57, 784.63 and 332.69
Double scale
Find fourth proportional to 285.29, 393.70 and 167.35
Similar ratio
Find fourth proportional to 426.43, 588.47 and 249.52
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.