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Finding the Fourth Proportional to 87.32, 119.38 and 84.80

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Solution

The fourth proportional to 87.32, 119.38 and 84.80 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.32 : 119.38 = 84.80 : x
  2. Step 2: Convert to fraction form
    87.32/119.38 = 84.80/x
  3. Step 3: Cross multiply
    87.32x = 119.38 × 84.80
  4. Step 4: Simplify right side
    87.32x = 10,123.42
  5. Step 5: Solve for x
    x = 10,123.42/87.32
  6. Step 6: Final answer
    x = 115.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.