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Finding the Fourth Proportional to 339.19, 468.09 and 214.80

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Solution

The fourth proportional to 339.19, 468.09 and 214.80 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.19 : 468.09 = 214.80 : x
  2. Step 2: Convert to fraction form
    339.19/468.09 = 214.80/x
  3. Step 3: Cross multiply
    339.19x = 468.09 × 214.80
  4. Step 4: Simplify right side
    339.19x = 100,545.73
  5. Step 5: Solve for x
    x = 100,545.73/339.19
  6. Step 6: Final answer
    x = 296.43

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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.