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Finding the Fourth Proportional to 141.15, 194.81 and 106.36

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Solution

The fourth proportional to 141.15, 194.81 and 106.36 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.15 : 194.81 = 106.36 : x
  2. Step 2: Convert to fraction form
    141.15/194.81 = 106.36/x
  3. Step 3: Cross multiply
    141.15x = 194.81 × 106.36
  4. Step 4: Simplify right side
    141.15x = 20,719.99
  5. Step 5: Solve for x
    x = 20,719.99/141.15
  6. Step 6: Final answer
    x = 146.79

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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.