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Finding the Fourth Proportional to 142.38, 212.36 and 134.46

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Solution

The fourth proportional to 142.38, 212.36 and 134.46 is: 200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 212.36 = 134.46 : x
  2. Step 2: Convert to fraction form
    142.38/212.36 = 134.46/x
  3. Step 3: Cross multiply
    142.38x = 212.36 × 134.46
  4. Step 4: Simplify right side
    142.38x = 28,553.93
  5. Step 5: Solve for x
    x = 28,553.93/142.38
  6. Step 6: Final answer
    x = 200.55

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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.