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Finding the Fourth Proportional to 213.28, 321.19 and 186.54

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Solution

The fourth proportional to 213.28, 321.19 and 186.54 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 321.19 = 186.54 : x
  2. Step 2: Convert to fraction form
    213.28/321.19 = 186.54/x
  3. Step 3: Cross multiply
    213.28x = 321.19 × 186.54
  4. Step 4: Simplify right side
    213.28x = 59,914.78
  5. Step 5: Solve for x
    x = 59,914.78/213.28
  6. Step 6: Final answer
    x = 280.92

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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.