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Finding the Fourth Proportional to 141.13, 212.92 and 136.90

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Solution

The fourth proportional to 141.13, 212.92 and 136.90 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.13 : 212.92 = 136.90 : x
  2. Step 2: Convert to fraction form
    141.13/212.92 = 136.90/x
  3. Step 3: Cross multiply
    141.13x = 212.92 × 136.90
  4. Step 4: Simplify right side
    141.13x = 29,148.75
  5. Step 5: Solve for x
    x = 29,148.75/141.13
  6. Step 6: Final answer
    x = 206.54

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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.