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Finding the Fourth Proportional to 143.44, 213.71 and 134.13

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Solution

The fourth proportional to 143.44, 213.71 and 134.13 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 213.71 = 134.13 : x
  2. Step 2: Convert to fraction form
    143.44/213.71 = 134.13/x
  3. Step 3: Cross multiply
    143.44x = 213.71 × 134.13
  4. Step 4: Simplify right side
    143.44x = 28,664.92
  5. Step 5: Solve for x
    x = 28,664.92/143.44
  6. Step 6: Final answer
    x = 199.84

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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.