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Finding the Fourth Proportional to 100.91, 138.02 and 99.32

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Solution

The fourth proportional to 100.91, 138.02 and 99.32 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 138.02 = 99.32 : x
  2. Step 2: Convert to fraction form
    100.91/138.02 = 99.32/x
  3. Step 3: Cross multiply
    100.91x = 138.02 × 99.32
  4. Step 4: Simplify right side
    100.91x = 13,706.96
  5. Step 5: Solve for x
    x = 13,706.96/100.91
  6. Step 6: Final answer
    x = 135.83

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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.