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Finding the Fourth Proportional to 579.42, 868.86 and 214.11

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Solution

The fourth proportional to 579.42, 868.86 and 214.11 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 868.86 = 214.11 : x
  2. Step 2: Convert to fraction form
    579.42/868.86 = 214.11/x
  3. Step 3: Cross multiply
    579.42x = 868.86 × 214.11
  4. Step 4: Simplify right side
    579.42x = 186,031.61
  5. Step 5: Solve for x
    x = 186,031.61/579.42
  6. Step 6: Final answer
    x = 321.07

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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.