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Finding the Fourth Proportional to 379.22, 523.68 and 248.30

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Solution

The fourth proportional to 379.22, 523.68 and 248.30 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.22 : 523.68 = 248.30 : x
  2. Step 2: Convert to fraction form
    379.22/523.68 = 248.30/x
  3. Step 3: Cross multiply
    379.22x = 523.68 × 248.30
  4. Step 4: Simplify right side
    379.22x = 130,027.13
  5. Step 5: Solve for x
    x = 130,027.13/379.22
  6. Step 6: Final answer
    x = 342.88

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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.