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Finding the Fourth Proportional to 133.94, 183.55 and 120.98

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Solution

The fourth proportional to 133.94, 183.55 and 120.98 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 183.55 = 120.98 : x
  2. Step 2: Convert to fraction form
    133.94/183.55 = 120.98/x
  3. Step 3: Cross multiply
    133.94x = 183.55 × 120.98
  4. Step 4: Simplify right side
    133.94x = 22,205.88
  5. Step 5: Solve for x
    x = 22,205.88/133.94
  6. Step 6: Final answer
    x = 165.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.