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Finding the Fourth Proportional to 272.83, 406.94 and 231.79

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Solution

The fourth proportional to 272.83, 406.94 and 231.79 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 406.94 = 231.79 : x
  2. Step 2: Convert to fraction form
    272.83/406.94 = 231.79/x
  3. Step 3: Cross multiply
    272.83x = 406.94 × 231.79
  4. Step 4: Simplify right side
    272.83x = 94,323.32
  5. Step 5: Solve for x
    x = 94,323.32/272.83
  6. Step 6: Final answer
    x = 345.73

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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.