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Finding the Fourth Proportional to 249.92, 374.42 and 213.47

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Solution

The fourth proportional to 249.92, 374.42 and 213.47 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 374.42 = 213.47 : x
  2. Step 2: Convert to fraction form
    249.92/374.42 = 213.47/x
  3. Step 3: Cross multiply
    249.92x = 374.42 × 213.47
  4. Step 4: Simplify right side
    249.92x = 79,927.50
  5. Step 5: Solve for x
    x = 79,927.50/249.92
  6. Step 6: Final answer
    x = 319.81

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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.