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Finding the Fourth Proportional to 83.13, 125.35 and 82.22

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Solution

The fourth proportional to 83.13, 125.35 and 82.22 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 125.35 = 82.22 : x
  2. Step 2: Convert to fraction form
    83.13/125.35 = 82.22/x
  3. Step 3: Cross multiply
    83.13x = 125.35 × 82.22
  4. Step 4: Simplify right side
    83.13x = 10,305.44
  5. Step 5: Solve for x
    x = 10,305.44/83.13
  6. Step 6: Final answer
    x = 123.97

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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.