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Finding the Fourth Proportional to 141.62, 195.34 and 110.48

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Solution

The fourth proportional to 141.62, 195.34 and 110.48 is: 152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.62 : 195.34 = 110.48 : x
  2. Step 2: Convert to fraction form
    141.62/195.34 = 110.48/x
  3. Step 3: Cross multiply
    141.62x = 195.34 × 110.48
  4. Step 4: Simplify right side
    141.62x = 21,579.63
  5. Step 5: Solve for x
    x = 21,579.63/141.62
  6. Step 6: Final answer
    x = 152.38

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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.