Home / 305.40-420.64-256.24

Finding the Fourth Proportional to 305.40, 420.64 and 256.24

Calculator

Solution

The fourth proportional to 305.40, 420.64 and 256.24 is: 352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 420.64 = 256.24 : x
  2. Step 2: Convert to fraction form
    305.40/420.64 = 256.24/x
  3. Step 3: Cross multiply
    305.40x = 420.64 × 256.24
  4. Step 4: Simplify right side
    305.40x = 107,784.79
  5. Step 5: Solve for x
    x = 107,784.79/305.40
  6. Step 6: Final answer
    x = 352.93

Related Problems

Find fourth proportional to 152.70, 210.32 and 128.12
Half scale
Find fourth proportional to 610.80, 841.28 and 512.48
Double scale
Find fourth proportional to 306.40, 422.02 and 257.24
Similar ratio
Find fourth proportional to 458.10, 630.96 and 384.36
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.