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Finding the Fourth Proportional to 376.35, 519.24 and 287.90

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Solution

The fourth proportional to 376.35, 519.24 and 287.90 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.35 : 519.24 = 287.90 : x
  2. Step 2: Convert to fraction form
    376.35/519.24 = 287.90/x
  3. Step 3: Cross multiply
    376.35x = 519.24 × 287.90
  4. Step 4: Simplify right side
    376.35x = 149,488.65
  5. Step 5: Solve for x
    x = 149,488.65/376.35
  6. Step 6: Final answer
    x = 397.21

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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.