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Finding the Fourth Proportional to 324.11, 485.31 and 270.29

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Solution

The fourth proportional to 324.11, 485.31 and 270.29 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 485.31 = 270.29 : x
  2. Step 2: Convert to fraction form
    324.11/485.31 = 270.29/x
  3. Step 3: Cross multiply
    324.11x = 485.31 × 270.29
  4. Step 4: Simplify right side
    324.11x = 131,174.44
  5. Step 5: Solve for x
    x = 131,174.44/324.11
  6. Step 6: Final answer
    x = 404.72

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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.