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Finding the Fourth Proportional to 201.11, 277.15 and 181.23

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Solution

The fourth proportional to 201.11, 277.15 and 181.23 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 277.15 = 181.23 : x
  2. Step 2: Convert to fraction form
    201.11/277.15 = 181.23/x
  3. Step 3: Cross multiply
    201.11x = 277.15 × 181.23
  4. Step 4: Simplify right side
    201.11x = 50,227.89
  5. Step 5: Solve for x
    x = 50,227.89/201.11
  6. Step 6: Final answer
    x = 249.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.