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Finding the Fourth Proportional to 367.72, 506.92 and 280.24

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Solution

The fourth proportional to 367.72, 506.92 and 280.24 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.72 : 506.92 = 280.24 : x
  2. Step 2: Convert to fraction form
    367.72/506.92 = 280.24/x
  3. Step 3: Cross multiply
    367.72x = 506.92 × 280.24
  4. Step 4: Simplify right side
    367.72x = 142,059.26
  5. Step 5: Solve for x
    x = 142,059.26/367.72
  6. Step 6: Final answer
    x = 386.32

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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.