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Finding the Fourth Proportional to 233.10, 321.49 and 198.22

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Solution

The fourth proportional to 233.10, 321.49 and 198.22 is: 273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 321.49 = 198.22 : x
  2. Step 2: Convert to fraction form
    233.10/321.49 = 198.22/x
  3. Step 3: Cross multiply
    233.10x = 321.49 × 198.22
  4. Step 4: Simplify right side
    233.10x = 63,725.75
  5. Step 5: Solve for x
    x = 63,725.75/233.10
  6. Step 6: Final answer
    x = 273.38

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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.