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Finding the Fourth Proportional to 141.22, 194.90 and 85.24

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Solution

The fourth proportional to 141.22, 194.90 and 85.24 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.22 : 194.90 = 85.24 : x
  2. Step 2: Convert to fraction form
    141.22/194.90 = 85.24/x
  3. Step 3: Cross multiply
    141.22x = 194.90 × 85.24
  4. Step 4: Simplify right side
    141.22x = 16,613.28
  5. Step 5: Solve for x
    x = 16,613.28/141.22
  6. Step 6: Final answer
    x = 117.64

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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.