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Finding the Fourth Proportional to 209.78, 289.62 and 182.11

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Solution

The fourth proportional to 209.78, 289.62 and 182.11 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 289.62 = 182.11 : x
  2. Step 2: Convert to fraction form
    209.78/289.62 = 182.11/x
  3. Step 3: Cross multiply
    209.78x = 289.62 × 182.11
  4. Step 4: Simplify right side
    209.78x = 52,741.25
  5. Step 5: Solve for x
    x = 52,741.25/209.78
  6. Step 6: Final answer
    x = 251.41

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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.