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Finding the Fourth Proportional to 322.48, 445.14 and 217.63

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Solution

The fourth proportional to 322.48, 445.14 and 217.63 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 445.14 = 217.63 : x
  2. Step 2: Convert to fraction form
    322.48/445.14 = 217.63/x
  3. Step 3: Cross multiply
    322.48x = 445.14 × 217.63
  4. Step 4: Simplify right side
    322.48x = 96,874.14
  5. Step 5: Solve for x
    x = 96,874.14/322.48
  6. Step 6: Final answer
    x = 300.41

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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.