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Finding the Fourth Proportional to 378.62, 520.52 and 376.28

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Solution

The fourth proportional to 378.62, 520.52 and 376.28 is: 517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 520.52 = 376.28 : x
  2. Step 2: Convert to fraction form
    378.62/520.52 = 376.28/x
  3. Step 3: Cross multiply
    378.62x = 520.52 × 376.28
  4. Step 4: Simplify right side
    378.62x = 195,859.38
  5. Step 5: Solve for x
    x = 195,859.38/378.62
  6. Step 6: Final answer
    x = 517.30

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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.