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Finding the Fourth Proportional to 376.86, 519.97 and 229.48

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Solution

The fourth proportional to 376.86, 519.97 and 229.48 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.86 : 519.97 = 229.48 : x
  2. Step 2: Convert to fraction form
    376.86/519.97 = 229.48/x
  3. Step 3: Cross multiply
    376.86x = 519.97 × 229.48
  4. Step 4: Simplify right side
    376.86x = 119,322.14
  5. Step 5: Solve for x
    x = 119,322.14/376.86
  6. Step 6: Final answer
    x = 316.63

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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.