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Finding the Fourth Proportional to 189.80, 261.43 and 134.44

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Solution

The fourth proportional to 189.80, 261.43 and 134.44 is: 185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.80 : 261.43 = 134.44 : x
  2. Step 2: Convert to fraction form
    189.80/261.43 = 134.44/x
  3. Step 3: Cross multiply
    189.80x = 261.43 × 134.44
  4. Step 4: Simplify right side
    189.80x = 35,146.65
  5. Step 5: Solve for x
    x = 35,146.65/189.80
  6. Step 6: Final answer
    x = 185.18

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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.