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Finding the Fourth Proportional to 227.41, 313.14 and 161.80

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Solution

The fourth proportional to 227.41, 313.14 and 161.80 is: 222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.41 : 313.14 = 161.80 : x
  2. Step 2: Convert to fraction form
    227.41/313.14 = 161.80/x
  3. Step 3: Cross multiply
    227.41x = 313.14 × 161.80
  4. Step 4: Simplify right side
    227.41x = 50,666.05
  5. Step 5: Solve for x
    x = 50,666.05/227.41
  6. Step 6: Final answer
    x = 222.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.