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Finding the Fourth Proportional to 811.94, 1,217.92 and 234.82

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Solution

The fourth proportional to 811.94, 1,217.92 and 234.82 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,217.92 = 234.82 : x
  2. Step 2: Convert to fraction form
    811.94/1,217.92 = 234.82/x
  3. Step 3: Cross multiply
    811.94x = 1,217.92 × 234.82
  4. Step 4: Simplify right side
    811.94x = 285,991.97
  5. Step 5: Solve for x
    x = 285,991.97/811.94
  6. Step 6: Final answer
    x = 352.23

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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.