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Finding the Fourth Proportional to 323.59, 485.11 and 140.84

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Solution

The fourth proportional to 323.59, 485.11 and 140.84 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.59 : 485.11 = 140.84 : x
  2. Step 2: Convert to fraction form
    323.59/485.11 = 140.84/x
  3. Step 3: Cross multiply
    323.59x = 485.11 × 140.84
  4. Step 4: Simplify right side
    323.59x = 68,323.03
  5. Step 5: Solve for x
    x = 68,323.03/323.59
  6. Step 6: Final answer
    x = 211.14

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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.