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Finding the Fourth Proportional to 189.23, 283.91 and 81.09

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Solution

The fourth proportional to 189.23, 283.91 and 81.09 is: 121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 283.91 = 81.09 : x
  2. Step 2: Convert to fraction form
    189.23/283.91 = 81.09/x
  3. Step 3: Cross multiply
    189.23x = 283.91 × 81.09
  4. Step 4: Simplify right side
    189.23x = 23,021.86
  5. Step 5: Solve for x
    x = 23,021.86/189.23
  6. Step 6: Final answer
    x = 121.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.