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Finding the Fourth Proportional to 198.34, 296.10 and 167.58

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Solution

The fourth proportional to 198.34, 296.10 and 167.58 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 296.10 = 167.58 : x
  2. Step 2: Convert to fraction form
    198.34/296.10 = 167.58/x
  3. Step 3: Cross multiply
    198.34x = 296.10 × 167.58
  4. Step 4: Simplify right side
    198.34x = 49,620.44
  5. Step 5: Solve for x
    x = 49,620.44/198.34
  6. Step 6: Final answer
    x = 250.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.