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Finding the Fourth Proportional to 194.60, 290.68 and 163.85

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Solution

The fourth proportional to 194.60, 290.68 and 163.85 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 290.68 = 163.85 : x
  2. Step 2: Convert to fraction form
    194.60/290.68 = 163.85/x
  3. Step 3: Cross multiply
    194.60x = 290.68 × 163.85
  4. Step 4: Simplify right side
    194.60x = 47,626.64
  5. Step 5: Solve for x
    x = 47,626.64/194.60
  6. Step 6: Final answer
    x = 244.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.