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Finding the Fourth Proportional to 379.56, 523.78 and 213.76

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Solution

The fourth proportional to 379.56, 523.78 and 213.76 is: 294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.56 : 523.78 = 213.76 : x
  2. Step 2: Convert to fraction form
    379.56/523.78 = 213.76/x
  3. Step 3: Cross multiply
    379.56x = 523.78 × 213.76
  4. Step 4: Simplify right side
    379.56x = 111,963.21
  5. Step 5: Solve for x
    x = 111,963.21/379.56
  6. Step 6: Final answer
    x = 294.98

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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.