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Finding the Fourth Proportional to 134.46, 200.61 and 120.78

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Solution

The fourth proportional to 134.46, 200.61 and 120.78 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.46 : 200.61 = 120.78 : x
  2. Step 2: Convert to fraction form
    134.46/200.61 = 120.78/x
  3. Step 3: Cross multiply
    134.46x = 200.61 × 120.78
  4. Step 4: Simplify right side
    134.46x = 24,229.68
  5. Step 5: Solve for x
    x = 24,229.68/134.46
  6. Step 6: Final answer
    x = 180.20

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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.