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Finding the Fourth Proportional to 201.23, 300.57 and 181.94

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Solution

The fourth proportional to 201.23, 300.57 and 181.94 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 300.57 = 181.94 : x
  2. Step 2: Convert to fraction form
    201.23/300.57 = 181.94/x
  3. Step 3: Cross multiply
    201.23x = 300.57 × 181.94
  4. Step 4: Simplify right side
    201.23x = 54,684.80
  5. Step 5: Solve for x
    x = 54,684.80/201.23
  6. Step 6: Final answer
    x = 271.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.