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Finding the Fourth Proportional to 324.81, 445.50 and 323.19

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Solution

The fourth proportional to 324.81, 445.50 and 323.19 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 445.50 = 323.19 : x
  2. Step 2: Convert to fraction form
    324.81/445.50 = 323.19/x
  3. Step 3: Cross multiply
    324.81x = 445.50 × 323.19
  4. Step 4: Simplify right side
    324.81x = 143,981.15
  5. Step 5: Solve for x
    x = 143,981.15/324.81
  6. Step 6: Final answer
    x = 443.28

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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.