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Finding the Fourth Proportional to 578.93, 868.55 and 168.10

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Solution

The fourth proportional to 578.93, 868.55 and 168.10 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.93 : 868.55 = 168.10 : x
  2. Step 2: Convert to fraction form
    578.93/868.55 = 168.10/x
  3. Step 3: Cross multiply
    578.93x = 868.55 × 168.10
  4. Step 4: Simplify right side
    578.93x = 146,003.26
  5. Step 5: Solve for x
    x = 146,003.26/578.93
  6. Step 6: Final answer
    x = 252.20

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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.