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Finding the Fourth Proportional to 183.06, 254.38 and 181.19

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Solution

The fourth proportional to 183.06, 254.38 and 181.19 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 254.38 = 181.19 : x
  2. Step 2: Convert to fraction form
    183.06/254.38 = 181.19/x
  3. Step 3: Cross multiply
    183.06x = 254.38 × 181.19
  4. Step 4: Simplify right side
    183.06x = 46,091.11
  5. Step 5: Solve for x
    x = 46,091.11/183.06
  6. Step 6: Final answer
    x = 251.78

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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.