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Finding the Fourth Proportional to 323.26, 485.12 and 140.56

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Solution

The fourth proportional to 323.26, 485.12 and 140.56 is: 210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 485.12 = 140.56 : x
  2. Step 2: Convert to fraction form
    323.26/485.12 = 140.56/x
  3. Step 3: Cross multiply
    323.26x = 485.12 × 140.56
  4. Step 4: Simplify right side
    323.26x = 68,187.76
  5. Step 5: Solve for x
    x = 68,187.76/323.26
  6. Step 6: Final answer
    x = 210.94

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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.