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Finding the Fourth Proportional to 408.00, 561.92 and 379.30

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Solution

The fourth proportional to 408.00, 561.92 and 379.30 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.00 : 561.92 = 379.30 : x
  2. Step 2: Convert to fraction form
    408.00/561.92 = 379.30/x
  3. Step 3: Cross multiply
    408.00x = 561.92 × 379.30
  4. Step 4: Simplify right side
    408.00x = 213,136.14
  5. Step 5: Solve for x
    x = 213,136.14/408.00
  6. Step 6: Final answer
    x = 522.39

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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.