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Finding the Fourth Proportional to 339.63, 467.67 and 331.97

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Solution

The fourth proportional to 339.63, 467.67 and 331.97 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 467.67 = 331.97 : x
  2. Step 2: Convert to fraction form
    339.63/467.67 = 331.97/x
  3. Step 3: Cross multiply
    339.63x = 467.67 × 331.97
  4. Step 4: Simplify right side
    339.63x = 155,251.32
  5. Step 5: Solve for x
    x = 155,251.32/339.63
  6. Step 6: Final answer
    x = 457.12

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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.