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Finding the Fourth Proportional to 198.31, 297.28 and 112.75

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Solution

The fourth proportional to 198.31, 297.28 and 112.75 is: 169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.31 : 297.28 = 112.75 : x
  2. Step 2: Convert to fraction form
    198.31/297.28 = 112.75/x
  3. Step 3: Cross multiply
    198.31x = 297.28 × 112.75
  4. Step 4: Simplify right side
    198.31x = 33,518.32
  5. Step 5: Solve for x
    x = 33,518.32/198.31
  6. Step 6: Final answer
    x = 169.02

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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.