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Finding the Fourth Proportional to 198.43, 273.80 and 119.79

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Solution

The fourth proportional to 198.43, 273.80 and 119.79 is: 165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.43 : 273.80 = 119.79 : x
  2. Step 2: Convert to fraction form
    198.43/273.80 = 119.79/x
  3. Step 3: Cross multiply
    198.43x = 273.80 × 119.79
  4. Step 4: Simplify right side
    198.43x = 32,797.90
  5. Step 5: Solve for x
    x = 32,797.90/198.43
  6. Step 6: Final answer
    x = 165.29

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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.