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Finding the Fourth Proportional to 274.84, 414.27 and 251.75

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Solution

The fourth proportional to 274.84, 414.27 and 251.75 is: 379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.84 : 414.27 = 251.75 : x
  2. Step 2: Convert to fraction form
    274.84/414.27 = 251.75/x
  3. Step 3: Cross multiply
    274.84x = 414.27 × 251.75
  4. Step 4: Simplify right side
    274.84x = 104,293.51
  5. Step 5: Solve for x
    x = 104,293.51/274.84
  6. Step 6: Final answer
    x = 379.47

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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.