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Finding the Fourth Proportional to 218.89, 327.93 and 137.44

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Solution

The fourth proportional to 218.89, 327.93 and 137.44 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.89 : 327.93 = 137.44 : x
  2. Step 2: Convert to fraction form
    218.89/327.93 = 137.44/x
  3. Step 3: Cross multiply
    218.89x = 327.93 × 137.44
  4. Step 4: Simplify right side
    218.89x = 45,070.70
  5. Step 5: Solve for x
    x = 45,070.70/218.89
  6. Step 6: Final answer
    x = 205.91

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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.