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Finding the Fourth Proportional to 408.07, 611.70 and 191.80

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Solution

The fourth proportional to 408.07, 611.70 and 191.80 is: 287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.07 : 611.70 = 191.80 : x
  2. Step 2: Convert to fraction form
    408.07/611.70 = 191.80/x
  3. Step 3: Cross multiply
    408.07x = 611.70 × 191.80
  4. Step 4: Simplify right side
    408.07x = 117,324.06
  5. Step 5: Solve for x
    x = 117,324.06/408.07
  6. Step 6: Final answer
    x = 287.51

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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.