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Finding the Fourth Proportional to 249.80, 374.94 and 209.48

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Solution

The fourth proportional to 249.80, 374.94 and 209.48 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.80 : 374.94 = 209.48 : x
  2. Step 2: Convert to fraction form
    249.80/374.94 = 209.48/x
  3. Step 3: Cross multiply
    249.80x = 374.94 × 209.48
  4. Step 4: Simplify right side
    249.80x = 78,542.43
  5. Step 5: Solve for x
    x = 78,542.43/249.80
  6. Step 6: Final answer
    x = 314.42

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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.