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Finding the Fourth Proportional to 198.90, 298.92 and 134.12

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Solution

The fourth proportional to 198.90, 298.92 and 134.12 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 298.92 = 134.12 : x
  2. Step 2: Convert to fraction form
    198.90/298.92 = 134.12/x
  3. Step 3: Cross multiply
    198.90x = 298.92 × 134.12
  4. Step 4: Simplify right side
    198.90x = 40,091.15
  5. Step 5: Solve for x
    x = 40,091.15/198.90
  6. Step 6: Final answer
    x = 201.56

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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.