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Finding the Fourth Proportional to 236.43, 326.12 and 161.78

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Solution

The fourth proportional to 236.43, 326.12 and 161.78 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.43 : 326.12 = 161.78 : x
  2. Step 2: Convert to fraction form
    236.43/326.12 = 161.78/x
  3. Step 3: Cross multiply
    236.43x = 326.12 × 161.78
  4. Step 4: Simplify right side
    236.43x = 52,757.25
  5. Step 5: Solve for x
    x = 52,757.25/236.43
  6. Step 6: Final answer
    x = 223.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.