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Finding the Fourth Proportional to 352.24, 486.09 and 194.88

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Solution

The fourth proportional to 352.24, 486.09 and 194.88 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.24 : 486.09 = 194.88 : x
  2. Step 2: Convert to fraction form
    352.24/486.09 = 194.88/x
  3. Step 3: Cross multiply
    352.24x = 486.09 × 194.88
  4. Step 4: Simplify right side
    352.24x = 94,729.22
  5. Step 5: Solve for x
    x = 94,729.22/352.24
  6. Step 6: Final answer
    x = 268.93

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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.