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Finding the Fourth Proportional to 198.48, 296.10 and 194.88

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Solution

The fourth proportional to 198.48, 296.10 and 194.88 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 296.10 = 194.88 : x
  2. Step 2: Convert to fraction form
    198.48/296.10 = 194.88/x
  3. Step 3: Cross multiply
    198.48x = 296.10 × 194.88
  4. Step 4: Simplify right side
    198.48x = 57,703.97
  5. Step 5: Solve for x
    x = 57,703.97/198.48
  6. Step 6: Final answer
    x = 290.73

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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.