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Finding the Fourth Proportional to 327.60, 448.20 and 324.36

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Solution

The fourth proportional to 327.60, 448.20 and 324.36 is: 443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 448.20 = 324.36 : x
  2. Step 2: Convert to fraction form
    327.60/448.20 = 324.36/x
  3. Step 3: Cross multiply
    327.60x = 448.20 × 324.36
  4. Step 4: Simplify right side
    327.60x = 145,378.15
  5. Step 5: Solve for x
    x = 145,378.15/327.60
  6. Step 6: Final answer
    x = 443.77

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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.