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Finding the Fourth Proportional to 367.09, 506.57 and 201.31

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Solution

The fourth proportional to 367.09, 506.57 and 201.31 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.09 : 506.57 = 201.31 : x
  2. Step 2: Convert to fraction form
    367.09/506.57 = 201.31/x
  3. Step 3: Cross multiply
    367.09x = 506.57 × 201.31
  4. Step 4: Simplify right side
    367.09x = 101,977.61
  5. Step 5: Solve for x
    x = 101,977.61/367.09
  6. Step 6: Final answer
    x = 277.80

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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.