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Finding the Fourth Proportional to 198.16, 295.50 and 196.34

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Solution

The fourth proportional to 198.16, 295.50 and 196.34 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 295.50 = 196.34 : x
  2. Step 2: Convert to fraction form
    198.16/295.50 = 196.34/x
  3. Step 3: Cross multiply
    198.16x = 295.50 × 196.34
  4. Step 4: Simplify right side
    198.16x = 58,017.73
  5. Step 5: Solve for x
    x = 58,017.73/198.16
  6. Step 6: Final answer
    x = 292.79

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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.