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Finding the Fourth Proportional to 490.73, 736.18 and 161.75

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Solution

The fourth proportional to 490.73, 736.18 and 161.75 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 736.18 = 161.75 : x
  2. Step 2: Convert to fraction form
    490.73/736.18 = 161.75/x
  3. Step 3: Cross multiply
    490.73x = 736.18 × 161.75
  4. Step 4: Simplify right side
    490.73x = 119,073.03
  5. Step 5: Solve for x
    x = 119,073.03/490.73
  6. Step 6: Final answer
    x = 242.65

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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.