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Finding the Fourth Proportional to 414.39, 571.42 and 274.47

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Solution

The fourth proportional to 414.39, 571.42 and 274.47 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.39 : 571.42 = 274.47 : x
  2. Step 2: Convert to fraction form
    414.39/571.42 = 274.47/x
  3. Step 3: Cross multiply
    414.39x = 571.42 × 274.47
  4. Step 4: Simplify right side
    414.39x = 156,835.85
  5. Step 5: Solve for x
    x = 156,835.85/414.39
  6. Step 6: Final answer
    x = 378.47

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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.