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Finding the Fourth Proportional to 416.43, 623.10 and 251.31

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Solution

The fourth proportional to 416.43, 623.10 and 251.31 is: 376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.43 : 623.10 = 251.31 : x
  2. Step 2: Convert to fraction form
    416.43/623.10 = 251.31/x
  3. Step 3: Cross multiply
    416.43x = 623.10 × 251.31
  4. Step 4: Simplify right side
    416.43x = 156,591.26
  5. Step 5: Solve for x
    x = 156,591.26/416.43
  6. Step 6: Final answer
    x = 376.03

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Why These Related Problems?

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