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Finding the Fourth Proportional to 410.16, 616.05 and 256.17

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Solution

The fourth proportional to 410.16, 616.05 and 256.17 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 616.05 = 256.17 : x
  2. Step 2: Convert to fraction form
    410.16/616.05 = 256.17/x
  3. Step 3: Cross multiply
    410.16x = 616.05 × 256.17
  4. Step 4: Simplify right side
    410.16x = 157,813.53
  5. Step 5: Solve for x
    x = 157,813.53/410.16
  6. Step 6: Final answer
    x = 384.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.