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Finding the Fourth Proportional to 198.36, 275.58 and 196.38

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Solution

The fourth proportional to 198.36, 275.58 and 196.38 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 275.58 = 196.38 : x
  2. Step 2: Convert to fraction form
    198.36/275.58 = 196.38/x
  3. Step 3: Cross multiply
    198.36x = 275.58 × 196.38
  4. Step 4: Simplify right side
    198.36x = 54,118.40
  5. Step 5: Solve for x
    x = 54,118.40/198.36
  6. Step 6: Final answer
    x = 272.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.