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Finding the Fourth Proportional to 274.41, 376.61 and 252.54

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Solution

The fourth proportional to 274.41, 376.61 and 252.54 is: 346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.41 : 376.61 = 252.54 : x
  2. Step 2: Convert to fraction form
    274.41/376.61 = 252.54/x
  3. Step 3: Cross multiply
    274.41x = 376.61 × 252.54
  4. Step 4: Simplify right side
    274.41x = 95,107.83
  5. Step 5: Solve for x
    x = 95,107.83/274.41
  6. Step 6: Final answer
    x = 346.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.