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Finding the Fourth Proportional to 198.52, 297.78 and 111.80

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Solution

The fourth proportional to 198.52, 297.78 and 111.80 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.78 = 111.80 : x
  2. Step 2: Convert to fraction form
    198.52/297.78 = 111.80/x
  3. Step 3: Cross multiply
    198.52x = 297.78 × 111.80
  4. Step 4: Simplify right side
    198.52x = 33,291.80
  5. Step 5: Solve for x
    x = 33,291.80/198.52
  6. Step 6: Final answer
    x = 167.70

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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.