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Finding the Fourth Proportional to 249.72, 372.78 and 217.32

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Solution

The fourth proportional to 249.72, 372.78 and 217.32 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 372.78 = 217.32 : x
  2. Step 2: Convert to fraction form
    249.72/372.78 = 217.32/x
  3. Step 3: Cross multiply
    249.72x = 372.78 × 217.32
  4. Step 4: Simplify right side
    249.72x = 81,012.55
  5. Step 5: Solve for x
    x = 81,012.55/249.72
  6. Step 6: Final answer
    x = 324.41

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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.