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Finding the Fourth Proportional to 416.20, 574.46 and 276.25

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Solution

The fourth proportional to 416.20, 574.46 and 276.25 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.20 : 574.46 = 276.25 : x
  2. Step 2: Convert to fraction form
    416.20/574.46 = 276.25/x
  3. Step 3: Cross multiply
    416.20x = 574.46 × 276.25
  4. Step 4: Simplify right side
    416.20x = 158,694.58
  5. Step 5: Solve for x
    x = 158,694.58/416.20
  6. Step 6: Final answer
    x = 381.29

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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.