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Finding the Fourth Proportional to 209.96, 289.75 and 116.72

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Solution

The fourth proportional to 209.96, 289.75 and 116.72 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 289.75 = 116.72 : x
  2. Step 2: Convert to fraction form
    209.96/289.75 = 116.72/x
  3. Step 3: Cross multiply
    209.96x = 289.75 × 116.72
  4. Step 4: Simplify right side
    209.96x = 33,818.17
  5. Step 5: Solve for x
    x = 33,818.17/209.96
  6. Step 6: Final answer
    x = 161.07

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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.