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Finding the Fourth Proportional to 352.99, 486.96 and 205.60

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Solution

The fourth proportional to 352.99, 486.96 and 205.60 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.99 : 486.96 = 205.60 : x
  2. Step 2: Convert to fraction form
    352.99/486.96 = 205.60/x
  3. Step 3: Cross multiply
    352.99x = 486.96 × 205.60
  4. Step 4: Simplify right side
    352.99x = 100,118.98
  5. Step 5: Solve for x
    x = 100,118.98/352.99
  6. Step 6: Final answer
    x = 283.63

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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.