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Finding the Fourth Proportional to 365.82, 504.81 and 208.43

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Solution

The fourth proportional to 365.82, 504.81 and 208.43 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 504.81 = 208.43 : x
  2. Step 2: Convert to fraction form
    365.82/504.81 = 208.43/x
  3. Step 3: Cross multiply
    365.82x = 504.81 × 208.43
  4. Step 4: Simplify right side
    365.82x = 105,217.55
  5. Step 5: Solve for x
    x = 105,217.55/365.82
  6. Step 6: Final answer
    x = 287.62

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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.