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Finding the Fourth Proportional to 274.70, 408.95 and 273.08

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Solution

The fourth proportional to 274.70, 408.95 and 273.08 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 408.95 = 273.08 : x
  2. Step 2: Convert to fraction form
    274.70/408.95 = 273.08/x
  3. Step 3: Cross multiply
    274.70x = 408.95 × 273.08
  4. Step 4: Simplify right side
    274.70x = 111,676.07
  5. Step 5: Solve for x
    x = 111,676.07/274.70
  6. Step 6: Final answer
    x = 406.54

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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.