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Finding the Fourth Proportional to 324.16, 444.80 and 323.20

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Solution

The fourth proportional to 324.16, 444.80 and 323.20 is: 443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 444.80 = 323.20 : x
  2. Step 2: Convert to fraction form
    324.16/444.80 = 323.20/x
  3. Step 3: Cross multiply
    324.16x = 444.80 × 323.20
  4. Step 4: Simplify right side
    324.16x = 143,759.36
  5. Step 5: Solve for x
    x = 143,759.36/324.16
  6. Step 6: Final answer
    x = 443.48

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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.