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Finding the Fourth Proportional to 141.18, 194.49 and 102.30

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Solution

The fourth proportional to 141.18, 194.49 and 102.30 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.18 : 194.49 = 102.30 : x
  2. Step 2: Convert to fraction form
    141.18/194.49 = 102.30/x
  3. Step 3: Cross multiply
    141.18x = 194.49 × 102.30
  4. Step 4: Simplify right side
    141.18x = 19,896.33
  5. Step 5: Solve for x
    x = 19,896.33/141.18
  6. Step 6: Final answer
    x = 140.93

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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.