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Finding the Fourth Proportional to 249.94, 375.27 and 218.26

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Solution

The fourth proportional to 249.94, 375.27 and 218.26 is: 327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 375.27 = 218.26 : x
  2. Step 2: Convert to fraction form
    249.94/375.27 = 218.26/x
  3. Step 3: Cross multiply
    249.94x = 375.27 × 218.26
  4. Step 4: Simplify right side
    249.94x = 81,906.43
  5. Step 5: Solve for x
    x = 81,906.43/249.94
  6. Step 6: Final answer
    x = 327.70

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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.