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Finding the Fourth Proportional to 141.14, 194.88 and 140.83

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Solution

The fourth proportional to 141.14, 194.88 and 140.83 is: 194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 194.88 = 140.83 : x
  2. Step 2: Convert to fraction form
    141.14/194.88 = 140.83/x
  3. Step 3: Cross multiply
    141.14x = 194.88 × 140.83
  4. Step 4: Simplify right side
    141.14x = 27,444.95
  5. Step 5: Solve for x
    x = 27,444.95/141.14
  6. Step 6: Final answer
    x = 194.45

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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.