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Finding the Fourth Proportional to 183.89, 254.81 and 181.65

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Solution

The fourth proportional to 183.89, 254.81 and 181.65 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 254.81 = 181.65 : x
  2. Step 2: Convert to fraction form
    183.89/254.81 = 181.65/x
  3. Step 3: Cross multiply
    183.89x = 254.81 × 181.65
  4. Step 4: Simplify right side
    183.89x = 46,285.33
  5. Step 5: Solve for x
    x = 46,285.33/183.89
  6. Step 6: Final answer
    x = 251.71

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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.