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Finding the Fourth Proportional to 352.31, 486.18 and 204.94

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Solution

The fourth proportional to 352.31, 486.18 and 204.94 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.31 : 486.18 = 204.94 : x
  2. Step 2: Convert to fraction form
    352.31/486.18 = 204.94/x
  3. Step 3: Cross multiply
    352.31x = 486.18 × 204.94
  4. Step 4: Simplify right side
    352.31x = 99,637.73
  5. Step 5: Solve for x
    x = 99,637.73/352.31
  6. Step 6: Final answer
    x = 282.81

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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.