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Finding the Fourth Proportional to 198.27, 271.67 and 191.36

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Solution

The fourth proportional to 198.27, 271.67 and 191.36 is: 262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 271.67 = 191.36 : x
  2. Step 2: Convert to fraction form
    198.27/271.67 = 191.36/x
  3. Step 3: Cross multiply
    198.27x = 271.67 × 191.36
  4. Step 4: Simplify right side
    198.27x = 51,986.49
  5. Step 5: Solve for x
    x = 51,986.49/198.27
  6. Step 6: Final answer
    x = 262.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.