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Finding the Fourth Proportional to 198.17, 296.82 and 159.44

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Solution

The fourth proportional to 198.17, 296.82 and 159.44 is: 238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.17 : 296.82 = 159.44 : x
  2. Step 2: Convert to fraction form
    198.17/296.82 = 159.44/x
  3. Step 3: Cross multiply
    198.17x = 296.82 × 159.44
  4. Step 4: Simplify right side
    198.17x = 47,323.50
  5. Step 5: Solve for x
    x = 47,323.50/198.17
  6. Step 6: Final answer
    x = 238.81

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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.