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Finding the Fourth Proportional to 275.31, 414.56 and 198.79

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Solution

The fourth proportional to 275.31, 414.56 and 198.79 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 414.56 = 198.79 : x
  2. Step 2: Convert to fraction form
    275.31/414.56 = 198.79/x
  3. Step 3: Cross multiply
    275.31x = 414.56 × 198.79
  4. Step 4: Simplify right side
    275.31x = 82,409.39
  5. Step 5: Solve for x
    x = 82,409.39/275.31
  6. Step 6: Final answer
    x = 299.34

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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.