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Finding the Fourth Proportional to 817.94, 1,227.12 and 240.82

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Solution

The fourth proportional to 817.94, 1,227.12 and 240.82 is: 361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.94 : 1,227.12 = 240.82 : x
  2. Step 2: Convert to fraction form
    817.94/1,227.12 = 240.82/x
  3. Step 3: Cross multiply
    817.94x = 1,227.12 × 240.82
  4. Step 4: Simplify right side
    817.94x = 295,515.04
  5. Step 5: Solve for x
    x = 295,515.04/817.94
  6. Step 6: Final answer
    x = 361.29

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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.