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Finding the Fourth Proportional to 143.24, 213.92 and 136.36

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Solution

The fourth proportional to 143.24, 213.92 and 136.36 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 213.92 = 136.36 : x
  2. Step 2: Convert to fraction form
    143.24/213.92 = 136.36/x
  3. Step 3: Cross multiply
    143.24x = 213.92 × 136.36
  4. Step 4: Simplify right side
    143.24x = 29,170.13
  5. Step 5: Solve for x
    x = 29,170.13/143.24
  6. Step 6: Final answer
    x = 203.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.