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Finding the Fourth Proportional to 198.92, 273.96 and 166.04

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Solution

The fourth proportional to 198.92, 273.96 and 166.04 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 273.96 = 166.04 : x
  2. Step 2: Convert to fraction form
    198.92/273.96 = 166.04/x
  3. Step 3: Cross multiply
    198.92x = 273.96 × 166.04
  4. Step 4: Simplify right side
    198.92x = 45,488.32
  5. Step 5: Solve for x
    x = 45,488.32/198.92
  6. Step 6: Final answer
    x = 228.68

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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.