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Finding the Fourth Proportional to 249.94, 343.08 and 221.68

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Solution

The fourth proportional to 249.94, 343.08 and 221.68 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 343.08 = 221.68 : x
  2. Step 2: Convert to fraction form
    249.94/343.08 = 221.68/x
  3. Step 3: Cross multiply
    249.94x = 343.08 × 221.68
  4. Step 4: Simplify right side
    249.94x = 76,053.97
  5. Step 5: Solve for x
    x = 76,053.97/249.94
  6. Step 6: Final answer
    x = 304.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.