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Finding the Fourth Proportional to 142.18, 211.92 and 134.34

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Solution

The fourth proportional to 142.18, 211.92 and 134.34 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 211.92 = 134.34 : x
  2. Step 2: Convert to fraction form
    142.18/211.92 = 134.34/x
  3. Step 3: Cross multiply
    142.18x = 211.92 × 134.34
  4. Step 4: Simplify right side
    142.18x = 28,469.33
  5. Step 5: Solve for x
    x = 28,469.33/142.18
  6. Step 6: Final answer
    x = 200.23

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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.