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Finding the Fourth Proportional to 141.47, 194.78 and 140.96

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Solution

The fourth proportional to 141.47, 194.78 and 140.96 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 194.78 = 140.96 : x
  2. Step 2: Convert to fraction form
    141.47/194.78 = 140.96/x
  3. Step 3: Cross multiply
    141.47x = 194.78 × 140.96
  4. Step 4: Simplify right side
    141.47x = 27,455.95
  5. Step 5: Solve for x
    x = 27,455.95/141.47
  6. Step 6: Final answer
    x = 194.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.