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Finding the Fourth Proportional to 273.42, 408.17 and 255.47

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Solution

The fourth proportional to 273.42, 408.17 and 255.47 is: 381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 408.17 = 255.47 : x
  2. Step 2: Convert to fraction form
    273.42/408.17 = 255.47/x
  3. Step 3: Cross multiply
    273.42x = 408.17 × 255.47
  4. Step 4: Simplify right side
    273.42x = 104,273.79
  5. Step 5: Solve for x
    x = 104,273.79/273.42
  6. Step 6: Final answer
    x = 381.37

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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.