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Finding the Fourth Proportional to 242.97, 361.82 and 227.40

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Solution

The fourth proportional to 242.97, 361.82 and 227.40 is: 338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 361.82 = 227.40 : x
  2. Step 2: Convert to fraction form
    242.97/361.82 = 227.40/x
  3. Step 3: Cross multiply
    242.97x = 361.82 × 227.40
  4. Step 4: Simplify right side
    242.97x = 82,277.87
  5. Step 5: Solve for x
    x = 82,277.87/242.97
  6. Step 6: Final answer
    x = 338.63

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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.