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Finding the Fourth Proportional to 189.26, 261.22 and 111.68

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Solution

The fourth proportional to 189.26, 261.22 and 111.68 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.26 : 261.22 = 111.68 : x
  2. Step 2: Convert to fraction form
    189.26/261.22 = 111.68/x
  3. Step 3: Cross multiply
    189.26x = 261.22 × 111.68
  4. Step 4: Simplify right side
    189.26x = 29,173.05
  5. Step 5: Solve for x
    x = 29,173.05/189.26
  6. Step 6: Final answer
    x = 154.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.