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Finding the Fourth Proportional to 275.52, 414.75 and 194.92

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Solution

The fourth proportional to 275.52, 414.75 and 194.92 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 414.75 = 194.92 : x
  2. Step 2: Convert to fraction form
    275.52/414.75 = 194.92/x
  3. Step 3: Cross multiply
    275.52x = 414.75 × 194.92
  4. Step 4: Simplify right side
    275.52x = 80,843.07
  5. Step 5: Solve for x
    x = 80,843.07/275.52
  6. Step 6: Final answer
    x = 293.42

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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.