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Finding the Fourth Proportional to 248.24, 371.92 and 223.12

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Solution

The fourth proportional to 248.24, 371.92 and 223.12 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 371.92 = 223.12 : x
  2. Step 2: Convert to fraction form
    248.24/371.92 = 223.12/x
  3. Step 3: Cross multiply
    248.24x = 371.92 × 223.12
  4. Step 4: Simplify right side
    248.24x = 82,982.79
  5. Step 5: Solve for x
    x = 82,982.79/248.24
  6. Step 6: Final answer
    x = 334.28

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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.