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Finding the Fourth Proportional to 273.07, 406.92 and 272.06

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Solution

The fourth proportional to 273.07, 406.92 and 272.06 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 406.92 = 272.06 : x
  2. Step 2: Convert to fraction form
    273.07/406.92 = 272.06/x
  3. Step 3: Cross multiply
    273.07x = 406.92 × 272.06
  4. Step 4: Simplify right side
    273.07x = 110,707.17
  5. Step 5: Solve for x
    x = 110,707.17/273.07
  6. Step 6: Final answer
    x = 405.41

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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.