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Finding the Fourth Proportional to 198.44, 273.48 and 167.36

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Solution

The fourth proportional to 198.44, 273.48 and 167.36 is: 230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 273.48 = 167.36 : x
  2. Step 2: Convert to fraction form
    198.44/273.48 = 167.36/x
  3. Step 3: Cross multiply
    198.44x = 273.48 × 167.36
  4. Step 4: Simplify right side
    198.44x = 45,769.61
  5. Step 5: Solve for x
    x = 45,769.61/198.44
  6. Step 6: Final answer
    x = 230.65

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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.