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Finding the Fourth Proportional to 322.84, 445.34 and 206.32

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Solution

The fourth proportional to 322.84, 445.34 and 206.32 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 445.34 = 206.32 : x
  2. Step 2: Convert to fraction form
    322.84/445.34 = 206.32/x
  3. Step 3: Cross multiply
    322.84x = 445.34 × 206.32
  4. Step 4: Simplify right side
    322.84x = 91,882.55
  5. Step 5: Solve for x
    x = 91,882.55/322.84
  6. Step 6: Final answer
    x = 284.61

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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.