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Finding the Fourth Proportional to 324.91, 488.30 and 270.41

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Solution

The fourth proportional to 324.91, 488.30 and 270.41 is: 406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.91 : 488.30 = 270.41 : x
  2. Step 2: Convert to fraction form
    324.91/488.30 = 270.41/x
  3. Step 3: Cross multiply
    324.91x = 488.30 × 270.41
  4. Step 4: Simplify right side
    324.91x = 132,037.41
  5. Step 5: Solve for x
    x = 132,037.41/324.91
  6. Step 6: Final answer
    x = 406.38

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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.