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Finding the Fourth Proportional to 376.16, 518.94 and 218.78

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Solution

The fourth proportional to 376.16, 518.94 and 218.78 is: 301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.16 : 518.94 = 218.78 : x
  2. Step 2: Convert to fraction form
    376.16/518.94 = 218.78/x
  3. Step 3: Cross multiply
    376.16x = 518.94 × 218.78
  4. Step 4: Simplify right side
    376.16x = 113,533.69
  5. Step 5: Solve for x
    x = 113,533.69/376.16
  6. Step 6: Final answer
    x = 301.82

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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.