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Finding the Fourth Proportional to 138.55, 207.37 and 115.56

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Solution

The fourth proportional to 138.55, 207.37 and 115.56 is: 172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.55 : 207.37 = 115.56 : x
  2. Step 2: Convert to fraction form
    138.55/207.37 = 115.56/x
  3. Step 3: Cross multiply
    138.55x = 207.37 × 115.56
  4. Step 4: Simplify right side
    138.55x = 23,963.68
  5. Step 5: Solve for x
    x = 23,963.68/138.55
  6. Step 6: Final answer
    x = 172.96

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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.