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Finding the Fourth Proportional to 274.20, 414.09 and 274.20

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Solution

The fourth proportional to 274.20, 414.09 and 274.20 is: 414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 414.09 = 274.20 : x
  2. Step 2: Convert to fraction form
    274.20/414.09 = 274.20/x
  3. Step 3: Cross multiply
    274.20x = 414.09 × 274.20
  4. Step 4: Simplify right side
    274.20x = 113,543.48
  5. Step 5: Solve for x
    x = 113,543.48/274.20
  6. Step 6: Final answer
    x = 414.09

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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.