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Finding the Fourth Proportional to 414.91, 571.66 and 274.78

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Solution

The fourth proportional to 414.91, 571.66 and 274.78 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.91 : 571.66 = 274.78 : x
  2. Step 2: Convert to fraction form
    414.91/571.66 = 274.78/x
  3. Step 3: Cross multiply
    414.91x = 571.66 × 274.78
  4. Step 4: Simplify right side
    414.91x = 157,080.73
  5. Step 5: Solve for x
    x = 157,080.73/414.91
  6. Step 6: Final answer
    x = 378.59

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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.