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Finding the Fourth Proportional to 379.26, 523.13 and 223.92

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Solution

The fourth proportional to 379.26, 523.13 and 223.92 is: 308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 523.13 = 223.92 : x
  2. Step 2: Convert to fraction form
    379.26/523.13 = 223.92/x
  3. Step 3: Cross multiply
    379.26x = 523.13 × 223.92
  4. Step 4: Simplify right side
    379.26x = 117,138.15
  5. Step 5: Solve for x
    x = 117,138.15/379.26
  6. Step 6: Final answer
    x = 308.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.