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Finding the Fourth Proportional to 139.52, 207.76 and 134

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Solution

The fourth proportional to 139.52, 207.76 and 134 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 207.76 = 134 : x
  2. Step 2: Convert to fraction form
    139.52/207.76 = 134/x
  3. Step 3: Cross multiply
    139.52x = 207.76 × 134
  4. Step 4: Simplify right side
    139.52x = 27,839.84
  5. Step 5: Solve for x
    x = 27,839.84/139.52
  6. Step 6: Final answer
    x = 199.54

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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.