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Finding the Fourth Proportional to 379.20, 523.13 and 239.22

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Solution

The fourth proportional to 379.20, 523.13 and 239.22 is: 330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 523.13 = 239.22 : x
  2. Step 2: Convert to fraction form
    379.20/523.13 = 239.22/x
  3. Step 3: Cross multiply
    379.20x = 523.13 × 239.22
  4. Step 4: Simplify right side
    379.20x = 125,141.96
  5. Step 5: Solve for x
    x = 125,141.96/379.20
  6. Step 6: Final answer
    x = 330.02

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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.