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Finding the Fourth Proportional to 249.72, 371.47 and 247.09

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Solution

The fourth proportional to 249.72, 371.47 and 247.09 is: 367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 371.47 = 247.09 : x
  2. Step 2: Convert to fraction form
    249.72/371.47 = 247.09/x
  3. Step 3: Cross multiply
    249.72x = 371.47 × 247.09
  4. Step 4: Simplify right side
    249.72x = 91,786.52
  5. Step 5: Solve for x
    x = 91,786.52/249.72
  6. Step 6: Final answer
    x = 367.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.