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Finding the Fourth Proportional to 338.13, 506.16 and 255.38

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Solution

The fourth proportional to 338.13, 506.16 and 255.38 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 506.16 = 255.38 : x
  2. Step 2: Convert to fraction form
    338.13/506.16 = 255.38/x
  3. Step 3: Cross multiply
    338.13x = 506.16 × 255.38
  4. Step 4: Simplify right side
    338.13x = 129,260.61
  5. Step 5: Solve for x
    x = 129,260.61/338.13
  6. Step 6: Final answer
    x = 382.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.