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Finding the Fourth Proportional to 365.87, 504.89 and 200.09

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Solution

The fourth proportional to 365.87, 504.89 and 200.09 is: 276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.87 : 504.89 = 200.09 : x
  2. Step 2: Convert to fraction form
    365.87/504.89 = 200.09/x
  3. Step 3: Cross multiply
    365.87x = 504.89 × 200.09
  4. Step 4: Simplify right side
    365.87x = 101,019.92
  5. Step 5: Solve for x
    x = 101,019.92/365.87
  6. Step 6: Final answer
    x = 276.11

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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.