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Finding the Fourth Proportional to 274.32, 408.36 and 272.70

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Solution

The fourth proportional to 274.32, 408.36 and 272.70 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 408.36 = 272.70 : x
  2. Step 2: Convert to fraction form
    274.32/408.36 = 272.70/x
  3. Step 3: Cross multiply
    274.32x = 408.36 × 272.70
  4. Step 4: Simplify right side
    274.32x = 111,359.77
  5. Step 5: Solve for x
    x = 111,359.77/274.32
  6. Step 6: Final answer
    x = 405.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.