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Finding the Fourth Proportional to 339.06, 467.78 and 191.64

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Solution

The fourth proportional to 339.06, 467.78 and 191.64 is: 264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 467.78 = 191.64 : x
  2. Step 2: Convert to fraction form
    339.06/467.78 = 191.64/x
  3. Step 3: Cross multiply
    339.06x = 467.78 × 191.64
  4. Step 4: Simplify right side
    339.06x = 89,645.36
  5. Step 5: Solve for x
    x = 89,645.36/339.06
  6. Step 6: Final answer
    x = 264.39

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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.