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Finding the Fourth Proportional to 209.92, 289.66 and 116.64

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Solution

The fourth proportional to 209.92, 289.66 and 116.64 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.92 : 289.66 = 116.64 : x
  2. Step 2: Convert to fraction form
    209.92/289.66 = 116.64/x
  3. Step 3: Cross multiply
    209.92x = 289.66 × 116.64
  4. Step 4: Simplify right side
    209.92x = 33,784.66
  5. Step 5: Solve for x
    x = 33,784.66/209.92
  6. Step 6: Final answer
    x = 160.94

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Why These Related Problems?

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