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Finding the Fourth Proportional to 198.94, 275.71 and 195.90

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Solution

The fourth proportional to 198.94, 275.71 and 195.90 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 275.71 = 195.90 : x
  2. Step 2: Convert to fraction form
    198.94/275.71 = 195.90/x
  3. Step 3: Cross multiply
    198.94x = 275.71 × 195.90
  4. Step 4: Simplify right side
    198.94x = 54,011.10
  5. Step 5: Solve for x
    x = 54,011.10/198.94
  6. Step 6: Final answer
    x = 271.50

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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.