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Finding the Fourth Proportional to 209.71, 289.47 and 132.13

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Solution

The fourth proportional to 209.71, 289.47 and 132.13 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 289.47 = 132.13 : x
  2. Step 2: Convert to fraction form
    209.71/289.47 = 132.13/x
  3. Step 3: Cross multiply
    209.71x = 289.47 × 132.13
  4. Step 4: Simplify right side
    209.71x = 38,247.67
  5. Step 5: Solve for x
    x = 38,247.67/209.71
  6. Step 6: Final answer
    x = 182.38

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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.