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Finding the Fourth Proportional to 143.36, 213.78 and 132.14

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Solution

The fourth proportional to 143.36, 213.78 and 132.14 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.36 : 213.78 = 132.14 : x
  2. Step 2: Convert to fraction form
    143.36/213.78 = 132.14/x
  3. Step 3: Cross multiply
    143.36x = 213.78 × 132.14
  4. Step 4: Simplify right side
    143.36x = 28,247.82
  5. Step 5: Solve for x
    x = 28,247.82/143.36
  6. Step 6: Final answer
    x = 197.05

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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.