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Finding the Fourth Proportional to 408.82, 613.50 and 192.46

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Solution

The fourth proportional to 408.82, 613.50 and 192.46 is: 288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.82 : 613.50 = 192.46 : x
  2. Step 2: Convert to fraction form
    408.82/613.50 = 192.46/x
  3. Step 3: Cross multiply
    408.82x = 613.50 × 192.46
  4. Step 4: Simplify right side
    408.82x = 118,074.21
  5. Step 5: Solve for x
    x = 118,074.21/408.82
  6. Step 6: Final answer
    x = 288.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.