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Finding the Fourth Proportional to 531.20, 733.02 and 291.92

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Solution

The fourth proportional to 531.20, 733.02 and 291.92 is: 402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.20 : 733.02 = 291.92 : x
  2. Step 2: Convert to fraction form
    531.20/733.02 = 291.92/x
  3. Step 3: Cross multiply
    531.20x = 733.02 × 291.92
  4. Step 4: Simplify right side
    531.20x = 213,979.53
  5. Step 5: Solve for x
    x = 213,979.53/531.20
  6. Step 6: Final answer
    x = 402.83

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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.