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Finding the Fourth Proportional to 322.67, 445.06 and 206.18

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Solution

The fourth proportional to 322.67, 445.06 and 206.18 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.67 : 445.06 = 206.18 : x
  2. Step 2: Convert to fraction form
    322.67/445.06 = 206.18/x
  3. Step 3: Cross multiply
    322.67x = 445.06 × 206.18
  4. Step 4: Simplify right side
    322.67x = 91,759.73
  5. Step 5: Solve for x
    x = 91,759.73/322.67
  6. Step 6: Final answer
    x = 284.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.