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Finding the Fourth Proportional to 198.92, 273.98 and 167.60

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Solution

The fourth proportional to 198.92, 273.98 and 167.60 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 273.98 = 167.60 : x
  2. Step 2: Convert to fraction form
    198.92/273.98 = 167.60/x
  3. Step 3: Cross multiply
    198.92x = 273.98 × 167.60
  4. Step 4: Simplify right side
    198.92x = 45,920.15
  5. Step 5: Solve for x
    x = 45,920.15/198.92
  6. Step 6: Final answer
    x = 230.84

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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.