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Finding the Fourth Proportional to 189.22, 261.22 and 130.90

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Solution

The fourth proportional to 189.22, 261.22 and 130.90 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 261.22 = 130.90 : x
  2. Step 2: Convert to fraction form
    189.22/261.22 = 130.90/x
  3. Step 3: Cross multiply
    189.22x = 261.22 × 130.90
  4. Step 4: Simplify right side
    189.22x = 34,193.70
  5. Step 5: Solve for x
    x = 34,193.70/189.22
  6. Step 6: Final answer
    x = 180.71

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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.