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Finding the Fourth Proportional to 140.80, 194.78 and 116.19

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Solution

The fourth proportional to 140.80, 194.78 and 116.19 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 194.78 = 116.19 : x
  2. Step 2: Convert to fraction form
    140.80/194.78 = 116.19/x
  3. Step 3: Cross multiply
    140.80x = 194.78 × 116.19
  4. Step 4: Simplify right side
    140.80x = 22,631.49
  5. Step 5: Solve for x
    x = 22,631.49/140.80
  6. Step 6: Final answer
    x = 160.74

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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.