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Finding the Fourth Proportional to 87.91, 132.17 and 55.71

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Solution

The fourth proportional to 87.91, 132.17 and 55.71 is: 83.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.91 : 132.17 = 55.71 : x
  2. Step 2: Convert to fraction form
    87.91/132.17 = 55.71/x
  3. Step 3: Cross multiply
    87.91x = 132.17 × 55.71
  4. Step 4: Simplify right side
    87.91x = 7,362.91
  5. Step 5: Solve for x
    x = 7,362.91/87.91
  6. Step 6: Final answer
    x = 83.76

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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.