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Finding the Fourth Proportional to 323.08, 485.21 and 169.11

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Solution

The fourth proportional to 323.08, 485.21 and 169.11 is: 253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.08 : 485.21 = 169.11 : x
  2. Step 2: Convert to fraction form
    323.08/485.21 = 169.11/x
  3. Step 3: Cross multiply
    323.08x = 485.21 × 169.11
  4. Step 4: Simplify right side
    323.08x = 82,053.86
  5. Step 5: Solve for x
    x = 82,053.86/323.08
  6. Step 6: Final answer
    x = 253.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.