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Finding the Fourth Proportional to 272.27, 406.47 and 231.27

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Solution

The fourth proportional to 272.27, 406.47 and 231.27 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 406.47 = 231.27 : x
  2. Step 2: Convert to fraction form
    272.27/406.47 = 231.27/x
  3. Step 3: Cross multiply
    272.27x = 406.47 × 231.27
  4. Step 4: Simplify right side
    272.27x = 94,004.32
  5. Step 5: Solve for x
    x = 94,004.32/272.27
  6. Step 6: Final answer
    x = 345.27

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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.