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Finding the Fourth Proportional to 322.45, 445.02 and 204.49

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Solution

The fourth proportional to 322.45, 445.02 and 204.49 is: 282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 445.02 = 204.49 : x
  2. Step 2: Convert to fraction form
    322.45/445.02 = 204.49/x
  3. Step 3: Cross multiply
    322.45x = 445.02 × 204.49
  4. Step 4: Simplify right side
    322.45x = 91,002.14
  5. Step 5: Solve for x
    x = 91,002.14/322.45
  6. Step 6: Final answer
    x = 282.22

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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.