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Finding the Fourth Proportional to 376.68, 518.46 and 321.24

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Solution

The fourth proportional to 376.68, 518.46 and 321.24 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.68 : 518.46 = 321.24 : x
  2. Step 2: Convert to fraction form
    376.68/518.46 = 321.24/x
  3. Step 3: Cross multiply
    376.68x = 518.46 × 321.24
  4. Step 4: Simplify right side
    376.68x = 166,550.09
  5. Step 5: Solve for x
    x = 166,550.09/376.68
  6. Step 6: Final answer
    x = 442.15

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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.