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Finding the Fourth Proportional to 99.49, 136.41 and 92.38

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Solution

The fourth proportional to 99.49, 136.41 and 92.38 is: 126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.49 : 136.41 = 92.38 : x
  2. Step 2: Convert to fraction form
    99.49/136.41 = 92.38/x
  3. Step 3: Cross multiply
    99.49x = 136.41 × 92.38
  4. Step 4: Simplify right side
    99.49x = 12,601.56
  5. Step 5: Solve for x
    x = 12,601.56/99.49
  6. Step 6: Final answer
    x = 126.66

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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.