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Finding the Fourth Proportional to 381.34, 574.24 and 273.88

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Solution

The fourth proportional to 381.34, 574.24 and 273.88 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 574.24 = 273.88 : x
  2. Step 2: Convert to fraction form
    381.34/574.24 = 273.88/x
  3. Step 3: Cross multiply
    381.34x = 574.24 × 273.88
  4. Step 4: Simplify right side
    381.34x = 157,272.85
  5. Step 5: Solve for x
    x = 157,272.85/381.34
  6. Step 6: Final answer
    x = 412.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.