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Finding the Fourth Proportional to 83.38, 115.08 and 77.92

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Solution

The fourth proportional to 83.38, 115.08 and 77.92 is: 107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.38 : 115.08 = 77.92 : x
  2. Step 2: Convert to fraction form
    83.38/115.08 = 77.92/x
  3. Step 3: Cross multiply
    83.38x = 115.08 × 77.92
  4. Step 4: Simplify right side
    83.38x = 8,967.03
  5. Step 5: Solve for x
    x = 8,967.03/83.38
  6. Step 6: Final answer
    x = 107.54

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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.