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Finding the Fourth Proportional to 198.27, 295.37 and 196.11

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Solution

The fourth proportional to 198.27, 295.37 and 196.11 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 295.37 = 196.11 : x
  2. Step 2: Convert to fraction form
    198.27/295.37 = 196.11/x
  3. Step 3: Cross multiply
    198.27x = 295.37 × 196.11
  4. Step 4: Simplify right side
    198.27x = 57,922.80
  5. Step 5: Solve for x
    x = 57,922.80/198.27
  6. Step 6: Final answer
    x = 292.15

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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.