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Finding the Fourth Proportional to 655.13, 982.68 and 168.19

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Solution

The fourth proportional to 655.13, 982.68 and 168.19 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 982.68 = 168.19 : x
  2. Step 2: Convert to fraction form
    655.13/982.68 = 168.19/x
  3. Step 3: Cross multiply
    655.13x = 982.68 × 168.19
  4. Step 4: Simplify right side
    655.13x = 165,276.95
  5. Step 5: Solve for x
    x = 165,276.95/655.13
  6. Step 6: Final answer
    x = 252.28

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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.