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Finding the Fourth Proportional to 194.44, 289.97 and 159.88

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Solution

The fourth proportional to 194.44, 289.97 and 159.88 is: 238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.44 : 289.97 = 159.88 : x
  2. Step 2: Convert to fraction form
    194.44/289.97 = 159.88/x
  3. Step 3: Cross multiply
    194.44x = 289.97 × 159.88
  4. Step 4: Simplify right side
    194.44x = 46,360.40
  5. Step 5: Solve for x
    x = 46,360.40/194.44
  6. Step 6: Final answer
    x = 238.43

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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.