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Finding the Fourth Proportional to 350.09, 524.42 and 205.73

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Solution

The fourth proportional to 350.09, 524.42 and 205.73 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.09 : 524.42 = 205.73 : x
  2. Step 2: Convert to fraction form
    350.09/524.42 = 205.73/x
  3. Step 3: Cross multiply
    350.09x = 524.42 × 205.73
  4. Step 4: Simplify right side
    350.09x = 107,887.90
  5. Step 5: Solve for x
    x = 107,887.90/350.09
  6. Step 6: Final answer
    x = 308.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.