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Finding the Fourth Proportional to 87.34, 130.28 and 83.16

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Solution

The fourth proportional to 87.34, 130.28 and 83.16 is: 124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.28 = 83.16 : x
  2. Step 2: Convert to fraction form
    87.34/130.28 = 83.16/x
  3. Step 3: Cross multiply
    87.34x = 130.28 × 83.16
  4. Step 4: Simplify right side
    87.34x = 10,834.08
  5. Step 5: Solve for x
    x = 10,834.08/87.34
  6. Step 6: Final answer
    x = 124.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.