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Finding the Fourth Proportional to 198.69, 298.10 and 111.97

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Solution

The fourth proportional to 198.69, 298.10 and 111.97 is: 167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 298.10 = 111.97 : x
  2. Step 2: Convert to fraction form
    198.69/298.10 = 111.97/x
  3. Step 3: Cross multiply
    198.69x = 298.10 × 111.97
  4. Step 4: Simplify right side
    198.69x = 33,378.26
  5. Step 5: Solve for x
    x = 33,378.26/198.69
  6. Step 6: Final answer
    x = 167.99

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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.