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Finding the Fourth Proportional to 252.89, 377.10 and 218.87

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Solution

The fourth proportional to 252.89, 377.10 and 218.87 is: 326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.89 : 377.10 = 218.87 : x
  2. Step 2: Convert to fraction form
    252.89/377.10 = 218.87/x
  3. Step 3: Cross multiply
    252.89x = 377.10 × 218.87
  4. Step 4: Simplify right side
    252.89x = 82,535.88
  5. Step 5: Solve for x
    x = 82,535.88/252.89
  6. Step 6: Final answer
    x = 326.37

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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.