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Finding the Fourth Proportional to 322.71, 445.46 and 206.25

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Solution

The fourth proportional to 322.71, 445.46 and 206.25 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 445.46 = 206.25 : x
  2. Step 2: Convert to fraction form
    322.71/445.46 = 206.25/x
  3. Step 3: Cross multiply
    322.71x = 445.46 × 206.25
  4. Step 4: Simplify right side
    322.71x = 91,876.13
  5. Step 5: Solve for x
    x = 91,876.13/322.71
  6. Step 6: Final answer
    x = 284.70

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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.