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Finding the Fourth Proportional to 338.21, 467.17 and 249.87

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Solution

The fourth proportional to 338.21, 467.17 and 249.87 is: 345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 467.17 = 249.87 : x
  2. Step 2: Convert to fraction form
    338.21/467.17 = 249.87/x
  3. Step 3: Cross multiply
    338.21x = 467.17 × 249.87
  4. Step 4: Simplify right side
    338.21x = 116,730.27
  5. Step 5: Solve for x
    x = 116,730.27/338.21
  6. Step 6: Final answer
    x = 345.14

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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.