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Finding the Fourth Proportional to 408.43, 563.90 and 364.69

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Solution

The fourth proportional to 408.43, 563.90 and 364.69 is: 503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.43 : 563.90 = 364.69 : x
  2. Step 2: Convert to fraction form
    408.43/563.90 = 364.69/x
  3. Step 3: Cross multiply
    408.43x = 563.90 × 364.69
  4. Step 4: Simplify right side
    408.43x = 205,648.69
  5. Step 5: Solve for x
    x = 205,648.69/408.43
  6. Step 6: Final answer
    x = 503.51

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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.