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Finding the Fourth Proportional to 141.22, 213.10 and 136.13

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Solution

The fourth proportional to 141.22, 213.10 and 136.13 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.22 : 213.10 = 136.13 : x
  2. Step 2: Convert to fraction form
    141.22/213.10 = 136.13/x
  3. Step 3: Cross multiply
    141.22x = 213.10 × 136.13
  4. Step 4: Simplify right side
    141.22x = 29,009.30
  5. Step 5: Solve for x
    x = 29,009.30/141.22
  6. Step 6: Final answer
    x = 205.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.