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Finding the Fourth Proportional to 198.38, 274.20 and 174.90

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Solution

The fourth proportional to 198.38, 274.20 and 174.90 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 274.20 = 174.90 : x
  2. Step 2: Convert to fraction form
    198.38/274.20 = 174.90/x
  3. Step 3: Cross multiply
    198.38x = 274.20 × 174.90
  4. Step 4: Simplify right side
    198.38x = 47,957.58
  5. Step 5: Solve for x
    x = 47,957.58/198.38
  6. Step 6: Final answer
    x = 241.75

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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.