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Finding the Fourth Proportional to 324.76, 486.24 and 252.76

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Solution

The fourth proportional to 324.76, 486.24 and 252.76 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 486.24 = 252.76 : x
  2. Step 2: Convert to fraction form
    324.76/486.24 = 252.76/x
  3. Step 3: Cross multiply
    324.76x = 486.24 × 252.76
  4. Step 4: Simplify right side
    324.76x = 122,902.02
  5. Step 5: Solve for x
    x = 122,902.02/324.76
  6. Step 6: Final answer
    x = 378.44

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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.