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Finding the Fourth Proportional to 141.23, 195.77 and 138.70

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Solution

The fourth proportional to 141.23, 195.77 and 138.70 is: 192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 195.77 = 138.70 : x
  2. Step 2: Convert to fraction form
    141.23/195.77 = 138.70/x
  3. Step 3: Cross multiply
    141.23x = 195.77 × 138.70
  4. Step 4: Simplify right side
    141.23x = 27,153.16
  5. Step 5: Solve for x
    x = 27,153.16/141.23
  6. Step 6: Final answer
    x = 192.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.