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Finding the Fourth Proportional to 183.64, 273.98 and 161.77

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Solution

The fourth proportional to 183.64, 273.98 and 161.77 is: 241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 273.98 = 161.77 : x
  2. Step 2: Convert to fraction form
    183.64/273.98 = 161.77/x
  3. Step 3: Cross multiply
    183.64x = 273.98 × 161.77
  4. Step 4: Simplify right side
    183.64x = 44,321.74
  5. Step 5: Solve for x
    x = 44,321.74/183.64
  6. Step 6: Final answer
    x = 241.35

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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.