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Finding the Fourth Proportional to 379.24, 523.37 and 213.48

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Solution

The fourth proportional to 379.24, 523.37 and 213.48 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 523.37 = 213.48 : x
  2. Step 2: Convert to fraction form
    379.24/523.37 = 213.48/x
  3. Step 3: Cross multiply
    379.24x = 523.37 × 213.48
  4. Step 4: Simplify right side
    379.24x = 111,727.96
  5. Step 5: Solve for x
    x = 111,727.96/379.24
  6. Step 6: Final answer
    x = 294.61

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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.