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Finding the Fourth Proportional to 249.25, 371.40 and 221.99

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Solution

The fourth proportional to 249.25, 371.40 and 221.99 is: 330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.25 : 371.40 = 221.99 : x
  2. Step 2: Convert to fraction form
    249.25/371.40 = 221.99/x
  3. Step 3: Cross multiply
    249.25x = 371.40 × 221.99
  4. Step 4: Simplify right side
    249.25x = 82,445.60
  5. Step 5: Solve for x
    x = 82,445.60/249.25
  6. Step 6: Final answer
    x = 330.77

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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.