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Finding the Fourth Proportional to 338.31, 467.08 and 303.27

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Solution

The fourth proportional to 338.31, 467.08 and 303.27 is: 418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 467.08 = 303.27 : x
  2. Step 2: Convert to fraction form
    338.31/467.08 = 303.27/x
  3. Step 3: Cross multiply
    338.31x = 467.08 × 303.27
  4. Step 4: Simplify right side
    338.31x = 141,651.35
  5. Step 5: Solve for x
    x = 141,651.35/338.31
  6. Step 6: Final answer
    x = 418.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.