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Finding the Fourth Proportional to 367.44, 506.90 and 227.50

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Solution

The fourth proportional to 367.44, 506.90 and 227.50 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 506.90 = 227.50 : x
  2. Step 2: Convert to fraction form
    367.44/506.90 = 227.50/x
  3. Step 3: Cross multiply
    367.44x = 506.90 × 227.50
  4. Step 4: Simplify right side
    367.44x = 115,319.75
  5. Step 5: Solve for x
    x = 115,319.75/367.44
  6. Step 6: Final answer
    x = 313.85

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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.