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Finding the Fourth Proportional to 198.38, 295.96 and 171.38

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Solution

The fourth proportional to 198.38, 295.96 and 171.38 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 295.96 = 171.38 : x
  2. Step 2: Convert to fraction form
    198.38/295.96 = 171.38/x
  3. Step 3: Cross multiply
    198.38x = 295.96 × 171.38
  4. Step 4: Simplify right side
    198.38x = 50,721.62
  5. Step 5: Solve for x
    x = 50,721.62/198.38
  6. Step 6: Final answer
    x = 255.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.