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Finding the Fourth Proportional to 138.53, 206.45 and 134.12

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Solution

The fourth proportional to 138.53, 206.45 and 134.12 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 206.45 = 134.12 : x
  2. Step 2: Convert to fraction form
    138.53/206.45 = 134.12/x
  3. Step 3: Cross multiply
    138.53x = 206.45 × 134.12
  4. Step 4: Simplify right side
    138.53x = 27,687.37
  5. Step 5: Solve for x
    x = 27,687.37/138.53
  6. Step 6: Final answer
    x = 199.87

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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.