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Finding the Fourth Proportional to 323.76, 485.19 and 169.35

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Solution

The fourth proportional to 323.76, 485.19 and 169.35 is: 253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 485.19 = 169.35 : x
  2. Step 2: Convert to fraction form
    323.76/485.19 = 169.35/x
  3. Step 3: Cross multiply
    323.76x = 485.19 × 169.35
  4. Step 4: Simplify right side
    323.76x = 82,166.93
  5. Step 5: Solve for x
    x = 82,166.93/323.76
  6. Step 6: Final answer
    x = 253.79

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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.