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Finding the Fourth Proportional to 209.72, 289.34 and 132.14

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Solution

The fourth proportional to 209.72, 289.34 and 132.14 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 289.34 = 132.14 : x
  2. Step 2: Convert to fraction form
    209.72/289.34 = 132.14/x
  3. Step 3: Cross multiply
    209.72x = 289.34 × 132.14
  4. Step 4: Simplify right side
    209.72x = 38,233.39
  5. Step 5: Solve for x
    x = 38,233.39/209.72
  6. Step 6: Final answer
    x = 182.31

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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.