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Finding the Fourth Proportional to 274.75, 414.11 and 259.90

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Solution

The fourth proportional to 274.75, 414.11 and 259.90 is: 391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 414.11 = 259.90 : x
  2. Step 2: Convert to fraction form
    274.75/414.11 = 259.90/x
  3. Step 3: Cross multiply
    274.75x = 414.11 × 259.90
  4. Step 4: Simplify right side
    274.75x = 107,626.80
  5. Step 5: Solve for x
    x = 107,626.80/274.75
  6. Step 6: Final answer
    x = 391.73

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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.