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Finding the Fourth Proportional to 367.13, 506.85 and 274.39

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Solution

The fourth proportional to 367.13, 506.85 and 274.39 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 506.85 = 274.39 : x
  2. Step 2: Convert to fraction form
    367.13/506.85 = 274.39/x
  3. Step 3: Cross multiply
    367.13x = 506.85 × 274.39
  4. Step 4: Simplify right side
    367.13x = 139,072.04
  5. Step 5: Solve for x
    x = 139,072.04/367.13
  6. Step 6: Final answer
    x = 378.81

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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.