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Finding the Fourth Proportional to 134.45, 200.60 and 120.77

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Solution

The fourth proportional to 134.45, 200.60 and 120.77 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.45 : 200.60 = 120.77 : x
  2. Step 2: Convert to fraction form
    134.45/200.60 = 120.77/x
  3. Step 3: Cross multiply
    134.45x = 200.60 × 120.77
  4. Step 4: Simplify right side
    134.45x = 24,226.46
  5. Step 5: Solve for x
    x = 24,226.46/134.45
  6. Step 6: Final answer
    x = 180.19

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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.