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Finding the Fourth Proportional to 339.10, 467.91 and 199.24

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Solution

The fourth proportional to 339.10, 467.91 and 199.24 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.10 : 467.91 = 199.24 : x
  2. Step 2: Convert to fraction form
    339.10/467.91 = 199.24/x
  3. Step 3: Cross multiply
    339.10x = 467.91 × 199.24
  4. Step 4: Simplify right side
    339.10x = 93,226.39
  5. Step 5: Solve for x
    x = 93,226.39/339.10
  6. Step 6: Final answer
    x = 274.92

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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.