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Finding the Fourth Proportional to 209.75, 289.15 and 150.71

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Solution

The fourth proportional to 209.75, 289.15 and 150.71 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 289.15 = 150.71 : x
  2. Step 2: Convert to fraction form
    209.75/289.15 = 150.71/x
  3. Step 3: Cross multiply
    209.75x = 289.15 × 150.71
  4. Step 4: Simplify right side
    209.75x = 43,575.97
  5. Step 5: Solve for x
    x = 43,575.97/209.75
  6. Step 6: Final answer
    x = 207.76

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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.