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Finding the Fourth Proportional to 168.90, 254.41 and 159.80

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Solution

The fourth proportional to 168.90, 254.41 and 159.80 is: 240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.90 : 254.41 = 159.80 : x
  2. Step 2: Convert to fraction form
    168.90/254.41 = 159.80/x
  3. Step 3: Cross multiply
    168.90x = 254.41 × 159.80
  4. Step 4: Simplify right side
    168.90x = 40,654.72
  5. Step 5: Solve for x
    x = 40,654.72/168.90
  6. Step 6: Final answer
    x = 240.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.