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Finding the Fourth Proportional to 338, 506.68 and 132.56

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Solution

The fourth proportional to 338, 506.68 and 132.56 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 506.68 = 132.56 : x
  2. Step 2: Convert to fraction form
    338/506.68 = 132.56/x
  3. Step 3: Cross multiply
    338x = 506.68 × 132.56
  4. Step 4: Simplify right side
    338x = 67,165.50
  5. Step 5: Solve for x
    x = 67,165.50/338
  6. Step 6: Final answer
    x = 198.71

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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.