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Finding the Fourth Proportional to 409.21, 612.83 and 192.85

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Solution

The fourth proportional to 409.21, 612.83 and 192.85 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 612.83 = 192.85 : x
  2. Step 2: Convert to fraction form
    409.21/612.83 = 192.85/x
  3. Step 3: Cross multiply
    409.21x = 612.83 × 192.85
  4. Step 4: Simplify right side
    409.21x = 118,183.30
  5. Step 5: Solve for x
    x = 118,183.30/409.21
  6. Step 6: Final answer
    x = 288.81

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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.