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Finding the Fourth Proportional to 138.07, 206.16 and 134.43

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Solution

The fourth proportional to 138.07, 206.16 and 134.43 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.07 : 206.16 = 134.43 : x
  2. Step 2: Convert to fraction form
    138.07/206.16 = 134.43/x
  3. Step 3: Cross multiply
    138.07x = 206.16 × 134.43
  4. Step 4: Simplify right side
    138.07x = 27,712.39
  5. Step 5: Solve for x
    x = 27,712.39/138.07
  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.