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Finding the Fourth Proportional to 411.53, 616.41 and 281.78

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Solution

The fourth proportional to 411.53, 616.41 and 281.78 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.53 : 616.41 = 281.78 : x
  2. Step 2: Convert to fraction form
    411.53/616.41 = 281.78/x
  3. Step 3: Cross multiply
    411.53x = 616.41 × 281.78
  4. Step 4: Simplify right side
    411.53x = 173,691.24
  5. Step 5: Solve for x
    x = 173,691.24/411.53
  6. Step 6: Final answer
    x = 422.06

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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.