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Finding the Fourth Proportional to 490.96, 736.50 and 161.78

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Solution

The fourth proportional to 490.96, 736.50 and 161.78 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 736.50 = 161.78 : x
  2. Step 2: Convert to fraction form
    490.96/736.50 = 161.78/x
  3. Step 3: Cross multiply
    490.96x = 736.50 × 161.78
  4. Step 4: Simplify right side
    490.96x = 119,150.97
  5. Step 5: Solve for x
    x = 119,150.97/490.96
  6. Step 6: Final answer
    x = 242.69

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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.