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Finding the Fourth Proportional to 408.06, 611.82 and 311.67

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Solution

The fourth proportional to 408.06, 611.82 and 311.67 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.06 : 611.82 = 311.67 : x
  2. Step 2: Convert to fraction form
    408.06/611.82 = 311.67/x
  3. Step 3: Cross multiply
    408.06x = 611.82 × 311.67
  4. Step 4: Simplify right side
    408.06x = 190,685.94
  5. Step 5: Solve for x
    x = 190,685.94/408.06
  6. Step 6: Final answer
    x = 467.30

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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.