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Finding the Fourth Proportional to 138.46, 207.61 and 123.27

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Solution

The fourth proportional to 138.46, 207.61 and 123.27 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.46 : 207.61 = 123.27 : x
  2. Step 2: Convert to fraction form
    138.46/207.61 = 123.27/x
  3. Step 3: Cross multiply
    138.46x = 207.61 × 123.27
  4. Step 4: Simplify right side
    138.46x = 25,590.43
  5. Step 5: Solve for x
    x = 25,590.43/138.46
  6. Step 6: Final answer
    x = 184.83

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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.