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Finding the Fourth Proportional to 183.75, 255.32 and 181.87

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Solution

The fourth proportional to 183.75, 255.32 and 181.87 is: 252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 255.32 = 181.87 : x
  2. Step 2: Convert to fraction form
    183.75/255.32 = 181.87/x
  3. Step 3: Cross multiply
    183.75x = 255.32 × 181.87
  4. Step 4: Simplify right side
    183.75x = 46,435.05
  5. Step 5: Solve for x
    x = 46,435.05/183.75
  6. Step 6: Final answer
    x = 252.71

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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.