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Finding the Fourth Proportional to 376.05, 519.44 and 289.79

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Solution

The fourth proportional to 376.05, 519.44 and 289.79 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.05 : 519.44 = 289.79 : x
  2. Step 2: Convert to fraction form
    376.05/519.44 = 289.79/x
  3. Step 3: Cross multiply
    376.05x = 519.44 × 289.79
  4. Step 4: Simplify right side
    376.05x = 150,528.52
  5. Step 5: Solve for x
    x = 150,528.52/376.05
  6. Step 6: Final answer
    x = 400.29

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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.