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Finding the Fourth Proportional to 133.56, 185.13 and 120.60

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Solution

The fourth proportional to 133.56, 185.13 and 120.60 is: 167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 185.13 = 120.60 : x
  2. Step 2: Convert to fraction form
    133.56/185.13 = 120.60/x
  3. Step 3: Cross multiply
    133.56x = 185.13 × 120.60
  4. Step 4: Simplify right side
    133.56x = 22,326.68
  5. Step 5: Solve for x
    x = 22,326.68/133.56
  6. Step 6: Final answer
    x = 167.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.