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Finding the Fourth Proportional to 367.88, 506.76 and 351.68

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Solution

The fourth proportional to 367.88, 506.76 and 351.68 is: 484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 506.76 = 351.68 : x
  2. Step 2: Convert to fraction form
    367.88/506.76 = 351.68/x
  3. Step 3: Cross multiply
    367.88x = 506.76 × 351.68
  4. Step 4: Simplify right side
    367.88x = 178,217.36
  5. Step 5: Solve for x
    x = 178,217.36/367.88
  6. Step 6: Final answer
    x = 484.44

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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.