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Finding the Fourth Proportional to 274.76, 378.92 and 212.49

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Solution

The fourth proportional to 274.76, 378.92 and 212.49 is: 293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 378.92 = 212.49 : x
  2. Step 2: Convert to fraction form
    274.76/378.92 = 212.49/x
  3. Step 3: Cross multiply
    274.76x = 378.92 × 212.49
  4. Step 4: Simplify right side
    274.76x = 80,515.65
  5. Step 5: Solve for x
    x = 80,515.65/274.76
  6. Step 6: Final answer
    x = 293.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.