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Finding the Fourth Proportional to 274.36, 408.54 and 270.48

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Solution

The fourth proportional to 274.36, 408.54 and 270.48 is: 402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 408.54 = 270.48 : x
  2. Step 2: Convert to fraction form
    274.36/408.54 = 270.48/x
  3. Step 3: Cross multiply
    274.36x = 408.54 × 270.48
  4. Step 4: Simplify right side
    274.36x = 110,501.90
  5. Step 5: Solve for x
    x = 110,501.90/274.36
  6. Step 6: Final answer
    x = 402.76

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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.