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Finding the Fourth Proportional to 378.37, 518.38 and 363.79

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Solution

The fourth proportional to 378.37, 518.38 and 363.79 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 518.38 = 363.79 : x
  2. Step 2: Convert to fraction form
    378.37/518.38 = 363.79/x
  3. Step 3: Cross multiply
    378.37x = 518.38 × 363.79
  4. Step 4: Simplify right side
    378.37x = 188,581.46
  5. Step 5: Solve for x
    x = 188,581.46/378.37
  6. Step 6: Final answer
    x = 498.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.