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Finding the Fourth Proportional to 141.51, 194.00 and 141.14

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Solution

The fourth proportional to 141.51, 194.00 and 141.14 is: 193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.51 : 194.00 = 141.14 : x
  2. Step 2: Convert to fraction form
    141.51/194.00 = 141.14/x
  3. Step 3: Cross multiply
    141.51x = 194.00 × 141.14
  4. Step 4: Simplify right side
    141.51x = 27,380.54
  5. Step 5: Solve for x
    x = 27,380.54/141.51
  6. Step 6: Final answer
    x = 193.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.