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Finding the Fourth Proportional to 578.89, 868.24 and 167.94

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Solution

The fourth proportional to 578.89, 868.24 and 167.94 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.89 : 868.24 = 167.94 : x
  2. Step 2: Convert to fraction form
    578.89/868.24 = 167.94/x
  3. Step 3: Cross multiply
    578.89x = 868.24 × 167.94
  4. Step 4: Simplify right side
    578.89x = 145,812.91
  5. Step 5: Solve for x
    x = 145,812.91/578.89
  6. Step 6: Final answer
    x = 251.88

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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.