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Finding the Fourth Proportional to 427.92, 638.22 and 363.34

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Solution

The fourth proportional to 427.92, 638.22 and 363.34 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 638.22 = 363.34 : x
  2. Step 2: Convert to fraction form
    427.92/638.22 = 363.34/x
  3. Step 3: Cross multiply
    427.92x = 638.22 × 363.34
  4. Step 4: Simplify right side
    427.92x = 231,890.85
  5. Step 5: Solve for x
    x = 231,890.85/427.92
  6. Step 6: Final answer
    x = 541.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.