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Finding the Fourth Proportional to 579.26, 868.86 and 213.90

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Solution

The fourth proportional to 579.26, 868.86 and 213.90 is: 320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 868.86 = 213.90 : x
  2. Step 2: Convert to fraction form
    579.26/868.86 = 213.90/x
  3. Step 3: Cross multiply
    579.26x = 868.86 × 213.90
  4. Step 4: Simplify right side
    579.26x = 185,849.15
  5. Step 5: Solve for x
    x = 185,849.15/579.26
  6. Step 6: Final answer
    x = 320.84

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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.