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Finding the Fourth Proportional to 490.89, 736.07 and 182.69

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Solution

The fourth proportional to 490.89, 736.07 and 182.69 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 736.07 = 182.69 : x
  2. Step 2: Convert to fraction form
    490.89/736.07 = 182.69/x
  3. Step 3: Cross multiply
    490.89x = 736.07 × 182.69
  4. Step 4: Simplify right side
    490.89x = 134,468.03
  5. Step 5: Solve for x
    x = 134,468.03/490.89
  6. Step 6: Final answer
    x = 273.93

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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.