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Finding the Fourth Proportional to 327.34, 448.81 and 323.22

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Solution

The fourth proportional to 327.34, 448.81 and 323.22 is: 443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 448.81 = 323.22 : x
  2. Step 2: Convert to fraction form
    327.34/448.81 = 323.22/x
  3. Step 3: Cross multiply
    327.34x = 448.81 × 323.22
  4. Step 4: Simplify right side
    327.34x = 145,065.24
  5. Step 5: Solve for x
    x = 145,065.24/327.34
  6. Step 6: Final answer
    x = 443.16

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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.