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Finding the Fourth Proportional to 338.20, 509.41 and 308.68

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Solution

The fourth proportional to 338.20, 509.41 and 308.68 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 509.41 = 308.68 : x
  2. Step 2: Convert to fraction form
    338.20/509.41 = 308.68/x
  3. Step 3: Cross multiply
    338.20x = 509.41 × 308.68
  4. Step 4: Simplify right side
    338.20x = 157,244.68
  5. Step 5: Solve for x
    x = 157,244.68/338.20
  6. Step 6: Final answer
    x = 464.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.