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Finding the Fourth Proportional to 300.22, 414.17 and 199.29

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Solution

The fourth proportional to 300.22, 414.17 and 199.29 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 414.17 = 199.29 : x
  2. Step 2: Convert to fraction form
    300.22/414.17 = 199.29/x
  3. Step 3: Cross multiply
    300.22x = 414.17 × 199.29
  4. Step 4: Simplify right side
    300.22x = 82,541.24
  5. Step 5: Solve for x
    x = 82,541.24/300.22
  6. Step 6: Final answer
    x = 274.94

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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.