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Finding the Fourth Proportional to 141.80, 213.03 and 135.96

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Solution

The fourth proportional to 141.80, 213.03 and 135.96 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 213.03 = 135.96 : x
  2. Step 2: Convert to fraction form
    141.80/213.03 = 135.96/x
  3. Step 3: Cross multiply
    141.80x = 213.03 × 135.96
  4. Step 4: Simplify right side
    141.80x = 28,964.56
  5. Step 5: Solve for x
    x = 28,964.56/141.80
  6. Step 6: Final answer
    x = 204.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.