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Finding the Fourth Proportional to 324.32, 449.42 and 320.36

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Solution

The fourth proportional to 324.32, 449.42 and 320.36 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 449.42 = 320.36 : x
  2. Step 2: Convert to fraction form
    324.32/449.42 = 320.36/x
  3. Step 3: Cross multiply
    324.32x = 449.42 × 320.36
  4. Step 4: Simplify right side
    324.32x = 143,976.19
  5. Step 5: Solve for x
    x = 143,976.19/324.32
  6. Step 6: Final answer
    x = 443.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.