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Finding the Fourth Proportional to 273.07, 408.79 and 272.71

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Solution

The fourth proportional to 273.07, 408.79 and 272.71 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 408.79 = 272.71 : x
  2. Step 2: Convert to fraction form
    273.07/408.79 = 272.71/x
  3. Step 3: Cross multiply
    273.07x = 408.79 × 272.71
  4. Step 4: Simplify right side
    273.07x = 111,477.71
  5. Step 5: Solve for x
    x = 111,477.71/273.07
  6. Step 6: Final answer
    x = 408.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.