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Finding the Fourth Proportional to 225.52, 311 and 194.42

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Solution

The fourth proportional to 225.52, 311 and 194.42 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 311 = 194.42 : x
  2. Step 2: Convert to fraction form
    225.52/311 = 194.42/x
  3. Step 3: Cross multiply
    225.52x = 311 × 194.42
  4. Step 4: Simplify right side
    225.52x = 60,464.62
  5. Step 5: Solve for x
    x = 60,464.62/225.52
  6. Step 6: Final answer
    x = 268.11

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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.