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Finding the Fourth Proportional to 198.71, 295.85 and 196.55

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Solution

The fourth proportional to 198.71, 295.85 and 196.55 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 295.85 = 196.55 : x
  2. Step 2: Convert to fraction form
    198.71/295.85 = 196.55/x
  3. Step 3: Cross multiply
    198.71x = 295.85 × 196.55
  4. Step 4: Simplify right side
    198.71x = 58,146.86
  5. Step 5: Solve for x
    x = 58,146.86/198.71
  6. Step 6: Final answer
    x = 292.63

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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.