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Finding the Fourth Proportional to 249.26, 343.68 and 205.52

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Solution

The fourth proportional to 249.26, 343.68 and 205.52 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 343.68 = 205.52 : x
  2. Step 2: Convert to fraction form
    249.26/343.68 = 205.52/x
  3. Step 3: Cross multiply
    249.26x = 343.68 × 205.52
  4. Step 4: Simplify right side
    249.26x = 70,633.11
  5. Step 5: Solve for x
    x = 70,633.11/249.26
  6. Step 6: Final answer
    x = 283.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.