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Finding the Fourth Proportional to 324.91, 445.99 and 287.24

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Solution

The fourth proportional to 324.91, 445.99 and 287.24 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.91 : 445.99 = 287.24 : x
  2. Step 2: Convert to fraction form
    324.91/445.99 = 287.24/x
  3. Step 3: Cross multiply
    324.91x = 445.99 × 287.24
  4. Step 4: Simplify right side
    324.91x = 128,104.73
  5. Step 5: Solve for x
    x = 128,104.73/324.91
  6. Step 6: Final answer
    x = 394.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.