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Finding the Fourth Proportional to 198.60, 273.68 and 149.43

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Solution

The fourth proportional to 198.60, 273.68 and 149.43 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.60 : 273.68 = 149.43 : x
  2. Step 2: Convert to fraction form
    198.60/273.68 = 149.43/x
  3. Step 3: Cross multiply
    198.60x = 273.68 × 149.43
  4. Step 4: Simplify right side
    198.60x = 40,895.26
  5. Step 5: Solve for x
    x = 40,895.26/198.60
  6. Step 6: Final answer
    x = 205.92

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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.