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Finding the Fourth Proportional to 274.16, 408.38 and 273.65

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Solution

The fourth proportional to 274.16, 408.38 and 273.65 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 408.38 = 273.65 : x
  2. Step 2: Convert to fraction form
    274.16/408.38 = 273.65/x
  3. Step 3: Cross multiply
    274.16x = 408.38 × 273.65
  4. Step 4: Simplify right side
    274.16x = 111,749.78
  5. Step 5: Solve for x
    x = 111,749.78/274.16
  6. Step 6: Final answer
    x = 407.60

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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.