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Finding the Fourth Proportional to 240.57, 361.46 and 227.21

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Solution

The fourth proportional to 240.57, 361.46 and 227.21 is: 341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.57 : 361.46 = 227.21 : x
  2. Step 2: Convert to fraction form
    240.57/361.46 = 227.21/x
  3. Step 3: Cross multiply
    240.57x = 361.46 × 227.21
  4. Step 4: Simplify right side
    240.57x = 82,126.09
  5. Step 5: Solve for x
    x = 82,126.09/240.57
  6. Step 6: Final answer
    x = 341.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.