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Finding the Fourth Proportional to 183.56, 255.11 and 181.64

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Solution

The fourth proportional to 183.56, 255.11 and 181.64 is: 252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.56 : 255.11 = 181.64 : x
  2. Step 2: Convert to fraction form
    183.56/255.11 = 181.64/x
  3. Step 3: Cross multiply
    183.56x = 255.11 × 181.64
  4. Step 4: Simplify right side
    183.56x = 46,338.18
  5. Step 5: Solve for x
    x = 46,338.18/183.56
  6. Step 6: Final answer
    x = 252.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.