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Finding the Fourth Proportional to 412.11, 617.67 and 206.73

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Solution

The fourth proportional to 412.11, 617.67 and 206.73 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 617.67 = 206.73 : x
  2. Step 2: Convert to fraction form
    412.11/617.67 = 206.73/x
  3. Step 3: Cross multiply
    412.11x = 617.67 × 206.73
  4. Step 4: Simplify right side
    412.11x = 127,690.92
  5. Step 5: Solve for x
    x = 127,690.92/412.11
  6. Step 6: Final answer
    x = 309.85

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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.