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Finding the Fourth Proportional to 416.25, 625.80 and 382.10

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Solution

The fourth proportional to 416.25, 625.80 and 382.10 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 625.80 = 382.10 : x
  2. Step 2: Convert to fraction form
    416.25/625.80 = 382.10/x
  3. Step 3: Cross multiply
    416.25x = 625.80 × 382.10
  4. Step 4: Simplify right side
    416.25x = 239,115.05
  5. Step 5: Solve for x
    x = 239,115.05/416.25
  6. Step 6: Final answer
    x = 574.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.