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Finding the Fourth Proportional to 198.52, 297.43 and 111.75

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Solution

The fourth proportional to 198.52, 297.43 and 111.75 is: 167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.43 = 111.75 : x
  2. Step 2: Convert to fraction form
    198.52/297.43 = 111.75/x
  3. Step 3: Cross multiply
    198.52x = 297.43 × 111.75
  4. Step 4: Simplify right side
    198.52x = 33,237.80
  5. Step 5: Solve for x
    x = 33,237.80/198.52
  6. Step 6: Final answer
    x = 167.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.