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Finding the Fourth Proportional to 312.27, 431.09 and 201.81

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Solution

The fourth proportional to 312.27, 431.09 and 201.81 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.27 : 431.09 = 201.81 : x
  2. Step 2: Convert to fraction form
    312.27/431.09 = 201.81/x
  3. Step 3: Cross multiply
    312.27x = 431.09 × 201.81
  4. Step 4: Simplify right side
    312.27x = 86,997.21
  5. Step 5: Solve for x
    x = 86,997.21/312.27
  6. Step 6: Final answer
    x = 278.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.