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Finding the Fourth Proportional to 138.62, 206.58 and 134.68

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Solution

The fourth proportional to 138.62, 206.58 and 134.68 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 206.58 = 134.68 : x
  2. Step 2: Convert to fraction form
    138.62/206.58 = 134.68/x
  3. Step 3: Cross multiply
    138.62x = 206.58 × 134.68
  4. Step 4: Simplify right side
    138.62x = 27,822.19
  5. Step 5: Solve for x
    x = 27,822.19/138.62
  6. Step 6: Final answer
    x = 200.71

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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.