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Finding the Fourth Proportional to 138.05, 206.20 and 118.85

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Solution

The fourth proportional to 138.05, 206.20 and 118.85 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 206.20 = 118.85 : x
  2. Step 2: Convert to fraction form
    138.05/206.20 = 118.85/x
  3. Step 3: Cross multiply
    138.05x = 206.20 × 118.85
  4. Step 4: Simplify right side
    138.05x = 24,506.28
  5. Step 5: Solve for x
    x = 24,506.28/138.05
  6. Step 6: Final answer
    x = 177.52

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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.