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Finding the Fourth Proportional to 273.44, 408.71 and 195.89

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Solution

The fourth proportional to 273.44, 408.71 and 195.89 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 408.71 = 195.89 : x
  2. Step 2: Convert to fraction form
    273.44/408.71 = 195.89/x
  3. Step 3: Cross multiply
    273.44x = 408.71 × 195.89
  4. Step 4: Simplify right side
    273.44x = 80,060.65
  5. Step 5: Solve for x
    x = 80,060.65/273.44
  6. Step 6: Final answer
    x = 292.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.