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Finding the Fourth Proportional to 198.26, 296.88 and 159.53

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Solution

The fourth proportional to 198.26, 296.88 and 159.53 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 296.88 = 159.53 : x
  2. Step 2: Convert to fraction form
    198.26/296.88 = 159.53/x
  3. Step 3: Cross multiply
    198.26x = 296.88 × 159.53
  4. Step 4: Simplify right side
    198.26x = 47,361.27
  5. Step 5: Solve for x
    x = 47,361.27/198.26
  6. Step 6: Final answer
    x = 238.88

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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.