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Finding the Fourth Proportional to 198.12, 273.41 and 115.29

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Solution

The fourth proportional to 198.12, 273.41 and 115.29 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 273.41 = 115.29 : x
  2. Step 2: Convert to fraction form
    198.12/273.41 = 115.29/x
  3. Step 3: Cross multiply
    198.12x = 273.41 × 115.29
  4. Step 4: Simplify right side
    198.12x = 31,520.38
  5. Step 5: Solve for x
    x = 31,520.38/198.12
  6. Step 6: Final answer
    x = 159.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.