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Finding the Fourth Proportional to 323.12, 485 and 178.96

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Solution

The fourth proportional to 323.12, 485 and 178.96 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 485 = 178.96 : x
  2. Step 2: Convert to fraction form
    323.12/485 = 178.96/x
  3. Step 3: Cross multiply
    323.12x = 485 × 178.96
  4. Step 4: Simplify right side
    323.12x = 86,795.60
  5. Step 5: Solve for x
    x = 86,795.60/323.12
  6. Step 6: Final answer
    x = 268.62

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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.