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Finding the Fourth Proportional to 416.30, 574.49 and 276.44

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Solution

The fourth proportional to 416.30, 574.49 and 276.44 is: 381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.49 = 276.44 : x
  2. Step 2: Convert to fraction form
    416.30/574.49 = 276.44/x
  3. Step 3: Cross multiply
    416.30x = 574.49 × 276.44
  4. Step 4: Simplify right side
    416.30x = 158,809.83
  5. Step 5: Solve for x
    x = 158,809.83/416.30
  6. Step 6: Final answer
    x = 381.48

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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.