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Finding the Fourth Proportional to 138.65, 206.12 and 134.56

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Solution

The fourth proportional to 138.65, 206.12 and 134.56 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.65 : 206.12 = 134.56 : x
  2. Step 2: Convert to fraction form
    138.65/206.12 = 134.56/x
  3. Step 3: Cross multiply
    138.65x = 206.12 × 134.56
  4. Step 4: Simplify right side
    138.65x = 27,734.32
  5. Step 5: Solve for x
    x = 27,734.32/138.65
  6. Step 6: Final answer
    x = 200.03

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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.