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Finding the Fourth Proportional to 194.22, 291.28 and 113.12

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Solution

The fourth proportional to 194.22, 291.28 and 113.12 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 291.28 = 113.12 : x
  2. Step 2: Convert to fraction form
    194.22/291.28 = 113.12/x
  3. Step 3: Cross multiply
    194.22x = 291.28 × 113.12
  4. Step 4: Simplify right side
    194.22x = 32,949.59
  5. Step 5: Solve for x
    x = 32,949.59/194.22
  6. Step 6: Final answer
    x = 169.65

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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.