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Finding the Fourth Proportional to 99.27, 136.80 and 83.88

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Solution

The fourth proportional to 99.27, 136.80 and 83.88 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.27 : 136.80 = 83.88 : x
  2. Step 2: Convert to fraction form
    99.27/136.80 = 83.88/x
  3. Step 3: Cross multiply
    99.27x = 136.80 × 83.88
  4. Step 4: Simplify right side
    99.27x = 11,474.78
  5. Step 5: Solve for x
    x = 11,474.78/99.27
  6. Step 6: Final answer
    x = 115.59

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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.