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Finding the Fourth Proportional to 218.55, 327.91 and 115.91

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Solution

The fourth proportional to 218.55, 327.91 and 115.91 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.55 : 327.91 = 115.91 : x
  2. Step 2: Convert to fraction form
    218.55/327.91 = 115.91/x
  3. Step 3: Cross multiply
    218.55x = 327.91 × 115.91
  4. Step 4: Simplify right side
    218.55x = 38,009.41
  5. Step 5: Solve for x
    x = 38,009.41/218.55
  6. Step 6: Final answer
    x = 173.91

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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.