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Finding the Fourth Proportional to 308.43, 422.39 and 304.38

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Solution

The fourth proportional to 308.43, 422.39 and 304.38 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.43 : 422.39 = 304.38 : x
  2. Step 2: Convert to fraction form
    308.43/422.39 = 304.38/x
  3. Step 3: Cross multiply
    308.43x = 422.39 × 304.38
  4. Step 4: Simplify right side
    308.43x = 128,565.55
  5. Step 5: Solve for x
    x = 128,565.55/308.43
  6. Step 6: Final answer
    x = 416.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.