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Finding the Fourth Proportional to 213.77, 321.94 and 179.75

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Solution

The fourth proportional to 213.77, 321.94 and 179.75 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 321.94 = 179.75 : x
  2. Step 2: Convert to fraction form
    213.77/321.94 = 179.75/x
  3. Step 3: Cross multiply
    213.77x = 321.94 × 179.75
  4. Step 4: Simplify right side
    213.77x = 57,869.74
  5. Step 5: Solve for x
    x = 57,869.74/213.77
  6. Step 6: Final answer
    x = 270.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.