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Finding the Fourth Proportional to 224.43, 308.42 and 214.26

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Solution

The fourth proportional to 224.43, 308.42 and 214.26 is: 294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.43 : 308.42 = 214.26 : x
  2. Step 2: Convert to fraction form
    224.43/308.42 = 214.26/x
  3. Step 3: Cross multiply
    224.43x = 308.42 × 214.26
  4. Step 4: Simplify right side
    224.43x = 66,081.38
  5. Step 5: Solve for x
    x = 66,081.38/224.43
  6. Step 6: Final answer
    x = 294.44

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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.