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Finding the Fourth Proportional to 408.92, 612.92 and 192.04

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Solution

The fourth proportional to 408.92, 612.92 and 192.04 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 612.92 = 192.04 : x
  2. Step 2: Convert to fraction form
    408.92/612.92 = 192.04/x
  3. Step 3: Cross multiply
    408.92x = 612.92 × 192.04
  4. Step 4: Simplify right side
    408.92x = 117,705.16
  5. Step 5: Solve for x
    x = 117,705.16/408.92
  6. Step 6: Final answer
    x = 287.84

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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.