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Finding the Fourth Proportional to 367.97, 549.96 and 338.78

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Solution

The fourth proportional to 367.97, 549.96 and 338.78 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.97 : 549.96 = 338.78 : x
  2. Step 2: Convert to fraction form
    367.97/549.96 = 338.78/x
  3. Step 3: Cross multiply
    367.97x = 549.96 × 338.78
  4. Step 4: Simplify right side
    367.97x = 186,315.45
  5. Step 5: Solve for x
    x = 186,315.45/367.97
  6. Step 6: Final answer
    x = 506.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.