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Finding the Fourth Proportional to 142.14, 211.67 and 133.38

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Solution

The fourth proportional to 142.14, 211.67 and 133.38 is: 198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 211.67 = 133.38 : x
  2. Step 2: Convert to fraction form
    142.14/211.67 = 133.38/x
  3. Step 3: Cross multiply
    142.14x = 211.67 × 133.38
  4. Step 4: Simplify right side
    142.14x = 28,231.88
  5. Step 5: Solve for x
    x = 28,231.88/142.14
  6. Step 6: Final answer
    x = 198.62

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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.