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Finding the Fourth Proportional to 183.37, 273.42 and 161.78

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Solution

The fourth proportional to 183.37, 273.42 and 161.78 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.37 : 273.42 = 161.78 : x
  2. Step 2: Convert to fraction form
    183.37/273.42 = 161.78/x
  3. Step 3: Cross multiply
    183.37x = 273.42 × 161.78
  4. Step 4: Simplify right side
    183.37x = 44,233.89
  5. Step 5: Solve for x
    x = 44,233.89/183.37
  6. Step 6: Final answer
    x = 241.23

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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.