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Finding the Fourth Proportional to 139.54, 207.74 and 133.96

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Solution

The fourth proportional to 139.54, 207.74 and 133.96 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.54 : 207.74 = 133.96 : x
  2. Step 2: Convert to fraction form
    139.54/207.74 = 133.96/x
  3. Step 3: Cross multiply
    139.54x = 207.74 × 133.96
  4. Step 4: Simplify right side
    139.54x = 27,828.85
  5. Step 5: Solve for x
    x = 27,828.85/139.54
  6. Step 6: Final answer
    x = 199.43

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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.