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Finding the Fourth Proportional to 209.72, 289.27 and 132.20

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Solution

The fourth proportional to 209.72, 289.27 and 132.20 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 289.27 = 132.20 : x
  2. Step 2: Convert to fraction form
    209.72/289.27 = 132.20/x
  3. Step 3: Cross multiply
    209.72x = 289.27 × 132.20
  4. Step 4: Simplify right side
    209.72x = 38,239.72
  5. Step 5: Solve for x
    x = 38,239.72/209.72
  6. Step 6: Final answer
    x = 182.34

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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.