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Finding the Fourth Proportional to 83.52, 115.08 and 65.16

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Solution

The fourth proportional to 83.52, 115.08 and 65.16 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.52 : 115.08 = 65.16 : x
  2. Step 2: Convert to fraction form
    83.52/115.08 = 65.16/x
  3. Step 3: Cross multiply
    83.52x = 115.08 × 65.16
  4. Step 4: Simplify right side
    83.52x = 7,498.61
  5. Step 5: Solve for x
    x = 7,498.61/83.52
  6. Step 6: Final answer
    x = 89.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.