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Finding the Fourth Proportional to 367.44, 506.89 and 220.04

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Solution

The fourth proportional to 367.44, 506.89 and 220.04 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 506.89 = 220.04 : x
  2. Step 2: Convert to fraction form
    367.44/506.89 = 220.04/x
  3. Step 3: Cross multiply
    367.44x = 506.89 × 220.04
  4. Step 4: Simplify right side
    367.44x = 111,538.57
  5. Step 5: Solve for x
    x = 111,538.57/367.44
  6. Step 6: Final answer
    x = 303.56

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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.