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Finding the Fourth Proportional to 141.09, 194.58 and 110.09

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Solution

The fourth proportional to 141.09, 194.58 and 110.09 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 194.58 = 110.09 : x
  2. Step 2: Convert to fraction form
    141.09/194.58 = 110.09/x
  3. Step 3: Cross multiply
    141.09x = 194.58 × 110.09
  4. Step 4: Simplify right side
    141.09x = 21,421.31
  5. Step 5: Solve for x
    x = 21,421.31/141.09
  6. Step 6: Final answer
    x = 151.83

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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.