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Finding the Fourth Proportional to 579.16, 868.31 and 213.88

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Solution

The fourth proportional to 579.16, 868.31 and 213.88 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.16 : 868.31 = 213.88 : x
  2. Step 2: Convert to fraction form
    579.16/868.31 = 213.88/x
  3. Step 3: Cross multiply
    579.16x = 868.31 × 213.88
  4. Step 4: Simplify right side
    579.16x = 185,716.85
  5. Step 5: Solve for x
    x = 185,716.85/579.16
  6. Step 6: Final answer
    x = 320.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.