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Finding the Fourth Proportional to 198.92, 298.04 and 138.04

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Solution

The fourth proportional to 198.92, 298.04 and 138.04 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 298.04 = 138.04 : x
  2. Step 2: Convert to fraction form
    198.92/298.04 = 138.04/x
  3. Step 3: Cross multiply
    198.92x = 298.04 × 138.04
  4. Step 4: Simplify right side
    198.92x = 41,141.44
  5. Step 5: Solve for x
    x = 41,141.44/198.92
  6. Step 6: Final answer
    x = 206.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.