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Finding the Fourth Proportional to 339.38, 468.33 and 208.43

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Solution

The fourth proportional to 339.38, 468.33 and 208.43 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 468.33 = 208.43 : x
  2. Step 2: Convert to fraction form
    339.38/468.33 = 208.43/x
  3. Step 3: Cross multiply
    339.38x = 468.33 × 208.43
  4. Step 4: Simplify right side
    339.38x = 97,614.02
  5. Step 5: Solve for x
    x = 97,614.02/339.38
  6. Step 6: Final answer
    x = 287.62

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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.