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Finding the Fourth Proportional to 194.22, 289.26 and 191.88

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Solution

The fourth proportional to 194.22, 289.26 and 191.88 is: 285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 289.26 = 191.88 : x
  2. Step 2: Convert to fraction form
    194.22/289.26 = 191.88/x
  3. Step 3: Cross multiply
    194.22x = 289.26 × 191.88
  4. Step 4: Simplify right side
    194.22x = 55,503.21
  5. Step 5: Solve for x
    x = 55,503.21/194.22
  6. Step 6: Final answer
    x = 285.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.