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Finding the Fourth Proportional to 194.80, 267.21 and 190.75

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Solution

The fourth proportional to 194.80, 267.21 and 190.75 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 267.21 = 190.75 : x
  2. Step 2: Convert to fraction form
    194.80/267.21 = 190.75/x
  3. Step 3: Cross multiply
    194.80x = 267.21 × 190.75
  4. Step 4: Simplify right side
    194.80x = 50,968.02
  5. Step 5: Solve for x
    x = 50,968.02/194.80
  6. Step 6: Final answer
    x = 261.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.