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Finding the Fourth Proportional to 161.70, 241.94 and 116.15

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Solution

The fourth proportional to 161.70, 241.94 and 116.15 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.70 : 241.94 = 116.15 : x
  2. Step 2: Convert to fraction form
    161.70/241.94 = 116.15/x
  3. Step 3: Cross multiply
    161.70x = 241.94 × 116.15
  4. Step 4: Simplify right side
    161.70x = 28,099.54
  5. Step 5: Solve for x
    x = 28,099.54/161.70
  6. Step 6: Final answer
    x = 173.78

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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.