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Finding the Fourth Proportional to 138.44, 206.56 and 122.96

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Solution

The fourth proportional to 138.44, 206.56 and 122.96 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.44 : 206.56 = 122.96 : x
  2. Step 2: Convert to fraction form
    138.44/206.56 = 122.96/x
  3. Step 3: Cross multiply
    138.44x = 206.56 × 122.96
  4. Step 4: Simplify right side
    138.44x = 25,398.62
  5. Step 5: Solve for x
    x = 25,398.62/138.44
  6. Step 6: Final answer
    x = 183.46

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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.