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Finding the Fourth Proportional to 274.26, 381 and 271.74

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Solution

The fourth proportional to 274.26, 381 and 271.74 is: 377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.26 : 381 = 271.74 : x
  2. Step 2: Convert to fraction form
    274.26/381 = 271.74/x
  3. Step 3: Cross multiply
    274.26x = 381 × 271.74
  4. Step 4: Simplify right side
    274.26x = 103,532.94
  5. Step 5: Solve for x
    x = 103,532.94/274.26
  6. Step 6: Final answer
    x = 377.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.