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Finding the Fourth Proportional to 198.31, 297.22 and 89.95

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Solution

The fourth proportional to 198.31, 297.22 and 89.95 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.31 : 297.22 = 89.95 : x
  2. Step 2: Convert to fraction form
    198.31/297.22 = 89.95/x
  3. Step 3: Cross multiply
    198.31x = 297.22 × 89.95
  4. Step 4: Simplify right side
    198.31x = 26,734.94
  5. Step 5: Solve for x
    x = 26,734.94/198.31
  6. Step 6: Final answer
    x = 134.81

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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.