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Finding the Fourth Proportional to 218.31, 327.57 and 96.56

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Solution

The fourth proportional to 218.31, 327.57 and 96.56 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 327.57 = 96.56 : x
  2. Step 2: Convert to fraction form
    218.31/327.57 = 96.56/x
  3. Step 3: Cross multiply
    218.31x = 327.57 × 96.56
  4. Step 4: Simplify right side
    218.31x = 31,630.16
  5. Step 5: Solve for x
    x = 31,630.16/218.31
  6. Step 6: Final answer
    x = 144.89

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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.