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Finding the Fourth Proportional to 367.03, 506.33 and 219.58

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Solution

The fourth proportional to 367.03, 506.33 and 219.58 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.03 : 506.33 = 219.58 : x
  2. Step 2: Convert to fraction form
    367.03/506.33 = 219.58/x
  3. Step 3: Cross multiply
    367.03x = 506.33 × 219.58
  4. Step 4: Simplify right side
    367.03x = 111,179.94
  5. Step 5: Solve for x
    x = 111,179.94/367.03
  6. Step 6: Final answer
    x = 302.92

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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.