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Finding the Fourth Proportional to 218.97, 327.22 and 178.43

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Solution

The fourth proportional to 218.97, 327.22 and 178.43 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 327.22 = 178.43 : x
  2. Step 2: Convert to fraction form
    218.97/327.22 = 178.43/x
  3. Step 3: Cross multiply
    218.97x = 327.22 × 178.43
  4. Step 4: Simplify right side
    218.97x = 58,383.78
  5. Step 5: Solve for x
    x = 58,383.78/218.97
  6. Step 6: Final answer
    x = 266.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.