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Finding the Fourth Proportional to 168.91, 254.36 and 149.83

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Solution

The fourth proportional to 168.91, 254.36 and 149.83 is: 225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.91 : 254.36 = 149.83 : x
  2. Step 2: Convert to fraction form
    168.91/254.36 = 149.83/x
  3. Step 3: Cross multiply
    168.91x = 254.36 × 149.83
  4. Step 4: Simplify right side
    168.91x = 38,110.50
  5. Step 5: Solve for x
    x = 38,110.50/168.91
  6. Step 6: Final answer
    x = 225.63

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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.