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Finding the Fourth Proportional to 149.96, 226.27 and 144.33

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Solution

The fourth proportional to 149.96, 226.27 and 144.33 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 226.27 = 144.33 : x
  2. Step 2: Convert to fraction form
    149.96/226.27 = 144.33/x
  3. Step 3: Cross multiply
    149.96x = 226.27 × 144.33
  4. Step 4: Simplify right side
    149.96x = 32,657.55
  5. Step 5: Solve for x
    x = 32,657.55/149.96
  6. Step 6: Final answer
    x = 217.78

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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.