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Finding the Fourth Proportional to 198.23, 297.45 and 111.66

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Solution

The fourth proportional to 198.23, 297.45 and 111.66 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 297.45 = 111.66 : x
  2. Step 2: Convert to fraction form
    198.23/297.45 = 111.66/x
  3. Step 3: Cross multiply
    198.23x = 297.45 × 111.66
  4. Step 4: Simplify right side
    198.23x = 33,213.27
  5. Step 5: Solve for x
    x = 33,213.27/198.23
  6. Step 6: Final answer
    x = 167.55

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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.