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Finding the Fourth Proportional to 138.96, 209.01 and 115.89

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Solution

The fourth proportional to 138.96, 209.01 and 115.89 is: 174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 209.01 = 115.89 : x
  2. Step 2: Convert to fraction form
    138.96/209.01 = 115.89/x
  3. Step 3: Cross multiply
    138.96x = 209.01 × 115.89
  4. Step 4: Simplify right side
    138.96x = 24,221.12
  5. Step 5: Solve for x
    x = 24,221.12/138.96
  6. Step 6: Final answer
    x = 174.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.