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Finding the Fourth Proportional to 379.24, 523.44 and 248.17

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Solution

The fourth proportional to 379.24, 523.44 and 248.17 is: 342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 523.44 = 248.17 : x
  2. Step 2: Convert to fraction form
    379.24/523.44 = 248.17/x
  3. Step 3: Cross multiply
    379.24x = 523.44 × 248.17
  4. Step 4: Simplify right side
    379.24x = 129,902.10
  5. Step 5: Solve for x
    x = 129,902.10/379.24
  6. Step 6: Final answer
    x = 342.53

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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.