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Finding the Fourth Proportional to 198.56, 298.20 and 197.12

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Solution

The fourth proportional to 198.56, 298.20 and 197.12 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 298.20 = 197.12 : x
  2. Step 2: Convert to fraction form
    198.56/298.20 = 197.12/x
  3. Step 3: Cross multiply
    198.56x = 298.20 × 197.12
  4. Step 4: Simplify right side
    198.56x = 58,781.18
  5. Step 5: Solve for x
    x = 58,781.18/198.56
  6. Step 6: Final answer
    x = 296.04

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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.