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Finding the Fourth Proportional to 199.81, 276.85 and 195.49

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Solution

The fourth proportional to 199.81, 276.85 and 195.49 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.81 : 276.85 = 195.49 : x
  2. Step 2: Convert to fraction form
    199.81/276.85 = 195.49/x
  3. Step 3: Cross multiply
    199.81x = 276.85 × 195.49
  4. Step 4: Simplify right side
    199.81x = 54,121.41
  5. Step 5: Solve for x
    x = 54,121.41/199.81
  6. Step 6: Final answer
    x = 270.86

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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.