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Finding the Fourth Proportional to 133.68, 183.57 and 119.10

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Solution

The fourth proportional to 133.68, 183.57 and 119.10 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.68 : 183.57 = 119.10 : x
  2. Step 2: Convert to fraction form
    133.68/183.57 = 119.10/x
  3. Step 3: Cross multiply
    133.68x = 183.57 × 119.10
  4. Step 4: Simplify right side
    133.68x = 21,863.19
  5. Step 5: Solve for x
    x = 21,863.19/133.68
  6. Step 6: Final answer
    x = 163.55

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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.