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Finding the Fourth Proportional to 249.50, 371.77 and 222.24

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Solution

The fourth proportional to 249.50, 371.77 and 222.24 is: 331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 371.77 = 222.24 : x
  2. Step 2: Convert to fraction form
    249.50/371.77 = 222.24/x
  3. Step 3: Cross multiply
    249.50x = 371.77 × 222.24
  4. Step 4: Simplify right side
    249.50x = 82,621.24
  5. Step 5: Solve for x
    x = 82,621.24/249.50
  6. Step 6: Final answer
    x = 331.15

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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.