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Finding the Fourth Proportional to 218.26, 327.56 and 120.78

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Solution

The fourth proportional to 218.26, 327.56 and 120.78 is: 181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.26 : 327.56 = 120.78 : x
  2. Step 2: Convert to fraction form
    218.26/327.56 = 120.78/x
  3. Step 3: Cross multiply
    218.26x = 327.56 × 120.78
  4. Step 4: Simplify right side
    218.26x = 39,562.70
  5. Step 5: Solve for x
    x = 39,562.70/218.26
  6. Step 6: Final answer
    x = 181.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.