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Finding the Fourth Proportional to 138.68, 206.96 and 122.43

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Solution

The fourth proportional to 138.68, 206.96 and 122.43 is: 182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 206.96 = 122.43 : x
  2. Step 2: Convert to fraction form
    138.68/206.96 = 122.43/x
  3. Step 3: Cross multiply
    138.68x = 206.96 × 122.43
  4. Step 4: Simplify right side
    138.68x = 25,337.50
  5. Step 5: Solve for x
    x = 25,337.50/138.68
  6. Step 6: Final answer
    x = 182.71

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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.