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Finding the Fourth Proportional to 379.38, 519.74 and 364.80

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Solution

The fourth proportional to 379.38, 519.74 and 364.80 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.38 : 519.74 = 364.80 : x
  2. Step 2: Convert to fraction form
    379.38/519.74 = 364.80/x
  3. Step 3: Cross multiply
    379.38x = 519.74 × 364.80
  4. Step 4: Simplify right side
    379.38x = 189,601.15
  5. Step 5: Solve for x
    x = 189,601.15/379.38
  6. Step 6: Final answer
    x = 499.77

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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.