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Finding the Fourth Proportional to 274.96, 414.56 and 252.28

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Solution

The fourth proportional to 274.96, 414.56 and 252.28 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.96 : 414.56 = 252.28 : x
  2. Step 2: Convert to fraction form
    274.96/414.56 = 252.28/x
  3. Step 3: Cross multiply
    274.96x = 414.56 × 252.28
  4. Step 4: Simplify right side
    274.96x = 104,585.20
  5. Step 5: Solve for x
    x = 104,585.20/274.96
  6. Step 6: Final answer
    x = 380.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.