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Finding the Fourth Proportional to 138.71, 207.06 and 126.56

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Solution

The fourth proportional to 138.71, 207.06 and 126.56 is: 188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 207.06 = 126.56 : x
  2. Step 2: Convert to fraction form
    138.71/207.06 = 126.56/x
  3. Step 3: Cross multiply
    138.71x = 207.06 × 126.56
  4. Step 4: Simplify right side
    138.71x = 26,205.56
  5. Step 5: Solve for x
    x = 26,205.56/138.71
  6. Step 6: Final answer
    x = 188.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.