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Finding the Fourth Proportional to 275.52, 382.71 and 271.11

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Solution

The fourth proportional to 275.52, 382.71 and 271.11 is: 376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 382.71 = 271.11 : x
  2. Step 2: Convert to fraction form
    275.52/382.71 = 271.11/x
  3. Step 3: Cross multiply
    275.52x = 382.71 × 271.11
  4. Step 4: Simplify right side
    275.52x = 103,755.83
  5. Step 5: Solve for x
    x = 103,755.83/275.52
  6. Step 6: Final answer
    x = 376.58

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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.