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Finding the Fourth Proportional to 249.72, 344.48 and 208.48

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Solution

The fourth proportional to 249.72, 344.48 and 208.48 is: 287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 344.48 = 208.48 : x
  2. Step 2: Convert to fraction form
    249.72/344.48 = 208.48/x
  3. Step 3: Cross multiply
    249.72x = 344.48 × 208.48
  4. Step 4: Simplify right side
    249.72x = 71,817.19
  5. Step 5: Solve for x
    x = 71,817.19/249.72
  6. Step 6: Final answer
    x = 287.59

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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.