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Finding the Fourth Proportional to 379.39, 523.57 and 213.62

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Solution

The fourth proportional to 379.39, 523.57 and 213.62 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.39 : 523.57 = 213.62 : x
  2. Step 2: Convert to fraction form
    379.39/523.57 = 213.62/x
  3. Step 3: Cross multiply
    379.39x = 523.57 × 213.62
  4. Step 4: Simplify right side
    379.39x = 111,845.02
  5. Step 5: Solve for x
    x = 111,845.02/379.39
  6. Step 6: Final answer
    x = 294.80

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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.