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Finding the Fourth Proportional to 141.39, 195.32 and 109.05

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Solution

The fourth proportional to 141.39, 195.32 and 109.05 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.39 : 195.32 = 109.05 : x
  2. Step 2: Convert to fraction form
    141.39/195.32 = 109.05/x
  3. Step 3: Cross multiply
    141.39x = 195.32 × 109.05
  4. Step 4: Simplify right side
    141.39x = 21,299.10
  5. Step 5: Solve for x
    x = 21,299.10/141.39
  6. Step 6: Final answer
    x = 150.64

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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.