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Finding the Fourth Proportional to 134.16, 184.34 and 119.12

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Solution

The fourth proportional to 134.16, 184.34 and 119.12 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 184.34 = 119.12 : x
  2. Step 2: Convert to fraction form
    134.16/184.34 = 119.12/x
  3. Step 3: Cross multiply
    134.16x = 184.34 × 119.12
  4. Step 4: Simplify right side
    134.16x = 21,958.58
  5. Step 5: Solve for x
    x = 21,958.58/134.16
  6. Step 6: Final answer
    x = 163.67

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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.