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Finding the Fourth Proportional to 379.88, 573.22 and 364.90

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Solution

The fourth proportional to 379.88, 573.22 and 364.90 is: 550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 573.22 = 364.90 : x
  2. Step 2: Convert to fraction form
    379.88/573.22 = 364.90/x
  3. Step 3: Cross multiply
    379.88x = 573.22 × 364.90
  4. Step 4: Simplify right side
    379.88x = 209,167.98
  5. Step 5: Solve for x
    x = 209,167.98/379.88
  6. Step 6: Final answer
    x = 550.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.