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Finding the Fourth Proportional to 352.35, 486.16 and 205

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Solution

The fourth proportional to 352.35, 486.16 and 205 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.35 : 486.16 = 205 : x
  2. Step 2: Convert to fraction form
    352.35/486.16 = 205/x
  3. Step 3: Cross multiply
    352.35x = 486.16 × 205
  4. Step 4: Simplify right side
    352.35x = 99,662.80
  5. Step 5: Solve for x
    x = 99,662.80/352.35
  6. Step 6: Final answer
    x = 282.85

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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.