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Finding the Fourth Proportional to 322.82, 445.40 and 206.40

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Solution

The fourth proportional to 322.82, 445.40 and 206.40 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.82 : 445.40 = 206.40 : x
  2. Step 2: Convert to fraction form
    322.82/445.40 = 206.40/x
  3. Step 3: Cross multiply
    322.82x = 445.40 × 206.40
  4. Step 4: Simplify right side
    322.82x = 91,930.56
  5. Step 5: Solve for x
    x = 91,930.56/322.82
  6. Step 6: Final answer
    x = 284.77

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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.