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Finding the Fourth Proportional to 339.09, 467.78 and 214.70

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Solution

The fourth proportional to 339.09, 467.78 and 214.70 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.09 : 467.78 = 214.70 : x
  2. Step 2: Convert to fraction form
    339.09/467.78 = 214.70/x
  3. Step 3: Cross multiply
    339.09x = 467.78 × 214.70
  4. Step 4: Simplify right side
    339.09x = 100,431.58
  5. Step 5: Solve for x
    x = 100,431.58/339.09
  6. Step 6: Final answer
    x = 296.18

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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.