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Finding the Fourth Proportional to 324.76, 449.20 and 255.51

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Solution

The fourth proportional to 324.76, 449.20 and 255.51 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 449.20 = 255.51 : x
  2. Step 2: Convert to fraction form
    324.76/449.20 = 255.51/x
  3. Step 3: Cross multiply
    324.76x = 449.20 × 255.51
  4. Step 4: Simplify right side
    324.76x = 114,772.85
  5. Step 5: Solve for x
    x = 114,772.85/324.76
  6. Step 6: Final answer
    x = 353.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.