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Finding the Fourth Proportional to 83.38, 125.71 and 82.30

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Solution

The fourth proportional to 83.38, 125.71 and 82.30 is: 124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.38 : 125.71 = 82.30 : x
  2. Step 2: Convert to fraction form
    83.38/125.71 = 82.30/x
  3. Step 3: Cross multiply
    83.38x = 125.71 × 82.30
  4. Step 4: Simplify right side
    83.38x = 10,345.93
  5. Step 5: Solve for x
    x = 10,345.93/83.38
  6. Step 6: Final answer
    x = 124.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.