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Finding the Fourth Proportional to 376.78, 519.68 and 245.64

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Solution

The fourth proportional to 376.78, 519.68 and 245.64 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.78 : 519.68 = 245.64 : x
  2. Step 2: Convert to fraction form
    376.78/519.68 = 245.64/x
  3. Step 3: Cross multiply
    376.78x = 519.68 × 245.64
  4. Step 4: Simplify right side
    376.78x = 127,654.20
  5. Step 5: Solve for x
    x = 127,654.20/376.78
  6. Step 6: Final answer
    x = 338.80

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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.