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Finding the Fourth Proportional to 198.36, 275.63 and 196.40

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Solution

The fourth proportional to 198.36, 275.63 and 196.40 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 275.63 = 196.40 : x
  2. Step 2: Convert to fraction form
    198.36/275.63 = 196.40/x
  3. Step 3: Cross multiply
    198.36x = 275.63 × 196.40
  4. Step 4: Simplify right side
    198.36x = 54,133.73
  5. Step 5: Solve for x
    x = 54,133.73/198.36
  6. Step 6: Final answer
    x = 272.91

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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.