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Finding the Fourth Proportional to 138.71, 207.87 and 102.47

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Solution

The fourth proportional to 138.71, 207.87 and 102.47 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 207.87 = 102.47 : x
  2. Step 2: Convert to fraction form
    138.71/207.87 = 102.47/x
  3. Step 3: Cross multiply
    138.71x = 207.87 × 102.47
  4. Step 4: Simplify right side
    138.71x = 21,299.02
  5. Step 5: Solve for x
    x = 21,299.02/138.71
  6. Step 6: Final answer
    x = 153.55

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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.