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Finding the Fourth Proportional to 364.87, 503.22 and 299.26

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Solution

The fourth proportional to 364.87, 503.22 and 299.26 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.87 : 503.22 = 299.26 : x
  2. Step 2: Convert to fraction form
    364.87/503.22 = 299.26/x
  3. Step 3: Cross multiply
    364.87x = 503.22 × 299.26
  4. Step 4: Simplify right side
    364.87x = 150,593.62
  5. Step 5: Solve for x
    x = 150,593.62/364.87
  6. Step 6: Final answer
    x = 412.73

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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.