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Finding the Fourth Proportional to 183.26, 273.41 and 163.78

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Solution

The fourth proportional to 183.26, 273.41 and 163.78 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.26 : 273.41 = 163.78 : x
  2. Step 2: Convert to fraction form
    183.26/273.41 = 163.78/x
  3. Step 3: Cross multiply
    183.26x = 273.41 × 163.78
  4. Step 4: Simplify right side
    183.26x = 44,779.08
  5. Step 5: Solve for x
    x = 44,779.08/183.26
  6. Step 6: Final answer
    x = 244.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.