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Finding the Fourth Proportional to 209.97, 289.75 and 116.71

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Solution

The fourth proportional to 209.97, 289.75 and 116.71 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 289.75 = 116.71 : x
  2. Step 2: Convert to fraction form
    209.97/289.75 = 116.71/x
  3. Step 3: Cross multiply
    209.97x = 289.75 × 116.71
  4. Step 4: Simplify right side
    209.97x = 33,814.69
  5. Step 5: Solve for x
    x = 33,814.69/209.97
  6. Step 6: Final answer
    x = 161.05

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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.