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Finding the Fourth Proportional to 323.66, 485.06 and 169.27

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Solution

The fourth proportional to 323.66, 485.06 and 169.27 is: 253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.66 : 485.06 = 169.27 : x
  2. Step 2: Convert to fraction form
    323.66/485.06 = 169.27/x
  3. Step 3: Cross multiply
    323.66x = 485.06 × 169.27
  4. Step 4: Simplify right side
    323.66x = 82,106.78
  5. Step 5: Solve for x
    x = 82,106.78/323.66
  6. Step 6: Final answer
    x = 253.68

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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.