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Finding the Fourth Proportional to 477.31, 658.68 and 290.76

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Solution

The fourth proportional to 477.31, 658.68 and 290.76 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.31 : 658.68 = 290.76 : x
  2. Step 2: Convert to fraction form
    477.31/658.68 = 290.76/x
  3. Step 3: Cross multiply
    477.31x = 658.68 × 290.76
  4. Step 4: Simplify right side
    477.31x = 191,517.80
  5. Step 5: Solve for x
    x = 191,517.80/477.31
  6. Step 6: Final answer
    x = 401.24

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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.