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Finding the Fourth Proportional to 655.20, 982.78 and 168.25

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Solution

The fourth proportional to 655.20, 982.78 and 168.25 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 982.78 = 168.25 : x
  2. Step 2: Convert to fraction form
    655.20/982.78 = 168.25/x
  3. Step 3: Cross multiply
    655.20x = 982.78 × 168.25
  4. Step 4: Simplify right side
    655.20x = 165,352.74
  5. Step 5: Solve for x
    x = 165,352.74/655.20
  6. Step 6: Final answer
    x = 252.37

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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.