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Finding the Fourth Proportional to 274.97, 414.39 and 260.39

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Solution

The fourth proportional to 274.97, 414.39 and 260.39 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.97 : 414.39 = 260.39 : x
  2. Step 2: Convert to fraction form
    274.97/414.39 = 260.39/x
  3. Step 3: Cross multiply
    274.97x = 414.39 × 260.39
  4. Step 4: Simplify right side
    274.97x = 107,903.13
  5. Step 5: Solve for x
    x = 107,903.13/274.97
  6. Step 6: Final answer
    x = 392.42

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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.