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Finding the Fourth Proportional to 83.92, 116.54 and 83.12

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Solution

The fourth proportional to 83.92, 116.54 and 83.12 is: 115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.92 : 116.54 = 83.12 : x
  2. Step 2: Convert to fraction form
    83.92/116.54 = 83.12/x
  3. Step 3: Cross multiply
    83.92x = 116.54 × 83.12
  4. Step 4: Simplify right side
    83.92x = 9,686.80
  5. Step 5: Solve for x
    x = 9,686.80/83.92
  6. Step 6: Final answer
    x = 115.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.