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Finding the Fourth Proportional to 414.52, 571.50 and 274.60

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Solution

The fourth proportional to 414.52, 571.50 and 274.60 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 571.50 = 274.60 : x
  2. Step 2: Convert to fraction form
    414.52/571.50 = 274.60/x
  3. Step 3: Cross multiply
    414.52x = 571.50 × 274.60
  4. Step 4: Simplify right side
    414.52x = 156,933.90
  5. Step 5: Solve for x
    x = 156,933.90/414.52
  6. Step 6: Final answer
    x = 378.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.