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Finding the Fourth Proportional to 142.28, 211.97 and 134

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Solution

The fourth proportional to 142.28, 211.97 and 134 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 211.97 = 134 : x
  2. Step 2: Convert to fraction form
    142.28/211.97 = 134/x
  3. Step 3: Cross multiply
    142.28x = 211.97 × 134
  4. Step 4: Simplify right side
    142.28x = 28,403.98
  5. Step 5: Solve for x
    x = 28,403.98/142.28
  6. Step 6: Final answer
    x = 199.63

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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.