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Finding the Fourth Proportional to 338.20, 513.20 and 338.20

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Solution

The fourth proportional to 338.20, 513.20 and 338.20 is: 513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 513.20 = 338.20 : x
  2. Step 2: Convert to fraction form
    338.20/513.20 = 338.20/x
  3. Step 3: Cross multiply
    338.20x = 513.20 × 338.20
  4. Step 4: Simplify right side
    338.20x = 173,564.24
  5. Step 5: Solve for x
    x = 173,564.24/338.20
  6. Step 6: Final answer
    x = 513.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.