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Finding the Fourth Proportional to 141.30, 194.82 and 120.78

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Solution

The fourth proportional to 141.30, 194.82 and 120.78 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.30 : 194.82 = 120.78 : x
  2. Step 2: Convert to fraction form
    141.30/194.82 = 120.78/x
  3. Step 3: Cross multiply
    141.30x = 194.82 × 120.78
  4. Step 4: Simplify right side
    141.30x = 23,530.36
  5. Step 5: Solve for x
    x = 23,530.36/141.30
  6. Step 6: Final answer
    x = 166.53

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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.