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Finding the Fourth Proportional to 198.15, 296.72 and 129.47

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Solution

The fourth proportional to 198.15, 296.72 and 129.47 is: 193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.15 : 296.72 = 129.47 : x
  2. Step 2: Convert to fraction form
    198.15/296.72 = 129.47/x
  3. Step 3: Cross multiply
    198.15x = 296.72 × 129.47
  4. Step 4: Simplify right side
    198.15x = 38,415.69
  5. Step 5: Solve for x
    x = 38,415.69/198.15
  6. Step 6: Final answer
    x = 193.87

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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.