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Finding the Fourth Proportional to 138.67, 206.51 and 133.87

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Solution

The fourth proportional to 138.67, 206.51 and 133.87 is: 199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.67 : 206.51 = 133.87 : x
  2. Step 2: Convert to fraction form
    138.67/206.51 = 133.87/x
  3. Step 3: Cross multiply
    138.67x = 206.51 × 133.87
  4. Step 4: Simplify right side
    138.67x = 27,645.49
  5. Step 5: Solve for x
    x = 27,645.49/138.67
  6. Step 6: Final answer
    x = 199.36

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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.