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Finding the Fourth Proportional to 408.54, 561.02 and 364.80

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Solution

The fourth proportional to 408.54, 561.02 and 364.80 is: 500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 561.02 = 364.80 : x
  2. Step 2: Convert to fraction form
    408.54/561.02 = 364.80/x
  3. Step 3: Cross multiply
    408.54x = 561.02 × 364.80
  4. Step 4: Simplify right side
    408.54x = 204,658.27
  5. Step 5: Solve for x
    x = 204,658.27/408.54
  6. Step 6: Final answer
    x = 500.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.