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Finding the Fourth Proportional to 87.98, 132 and 77.90

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Solution

The fourth proportional to 87.98, 132 and 77.90 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 132 = 77.90 : x
  2. Step 2: Convert to fraction form
    87.98/132 = 77.90/x
  3. Step 3: Cross multiply
    87.98x = 132 × 77.90
  4. Step 4: Simplify right side
    87.98x = 10,282.80
  5. Step 5: Solve for x
    x = 10,282.80/87.98
  6. Step 6: Final answer
    x = 116.88

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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.