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Finding the Fourth Proportional to 213.87, 321.09 and 117.75

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Solution

The fourth proportional to 213.87, 321.09 and 117.75 is: 176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 321.09 = 117.75 : x
  2. Step 2: Convert to fraction form
    213.87/321.09 = 117.75/x
  3. Step 3: Cross multiply
    213.87x = 321.09 × 117.75
  4. Step 4: Simplify right side
    213.87x = 37,808.35
  5. Step 5: Solve for x
    x = 37,808.35/213.87
  6. Step 6: Final answer
    x = 176.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.