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Finding the Fourth Proportional to 143.14, 213.66 and 133.12

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Solution

The fourth proportional to 143.14, 213.66 and 133.12 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.14 : 213.66 = 133.12 : x
  2. Step 2: Convert to fraction form
    143.14/213.66 = 133.12/x
  3. Step 3: Cross multiply
    143.14x = 213.66 × 133.12
  4. Step 4: Simplify right side
    143.14x = 28,442.42
  5. Step 5: Solve for x
    x = 28,442.42/143.14
  6. Step 6: Final answer
    x = 198.70

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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.