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Finding the Fourth Proportional to 92.49, 126.92 and 84.24

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Solution

The fourth proportional to 92.49, 126.92 and 84.24 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.49 : 126.92 = 84.24 : x
  2. Step 2: Convert to fraction form
    92.49/126.92 = 84.24/x
  3. Step 3: Cross multiply
    92.49x = 126.92 × 84.24
  4. Step 4: Simplify right side
    92.49x = 10,691.32
  5. Step 5: Solve for x
    x = 10,691.32/92.49
  6. Step 6: Final answer
    x = 115.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.