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Finding the Fourth Proportional to 447.27, 670.77 and 122.60

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Solution

The fourth proportional to 447.27, 670.77 and 122.60 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 670.77 = 122.60 : x
  2. Step 2: Convert to fraction form
    447.27/670.77 = 122.60/x
  3. Step 3: Cross multiply
    447.27x = 670.77 × 122.60
  4. Step 4: Simplify right side
    447.27x = 82,233.05
  5. Step 5: Solve for x
    x = 82,233.05/447.27
  6. Step 6: Final answer
    x = 183.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.