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Finding the Fourth Proportional to 323.47, 485.25 and 140.86

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Solution

The fourth proportional to 323.47, 485.25 and 140.86 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.47 : 485.25 = 140.86 : x
  2. Step 2: Convert to fraction form
    323.47/485.25 = 140.86/x
  3. Step 3: Cross multiply
    323.47x = 485.25 × 140.86
  4. Step 4: Simplify right side
    323.47x = 68,352.32
  5. Step 5: Solve for x
    x = 68,352.32/323.47
  6. Step 6: Final answer
    x = 211.31

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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.