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Finding the Fourth Proportional to 194.20, 289.36 and 182.04

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Solution

The fourth proportional to 194.20, 289.36 and 182.04 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 289.36 = 182.04 : x
  2. Step 2: Convert to fraction form
    194.20/289.36 = 182.04/x
  3. Step 3: Cross multiply
    194.20x = 289.36 × 182.04
  4. Step 4: Simplify right side
    194.20x = 52,675.09
  5. Step 5: Solve for x
    x = 52,675.09/194.20
  6. Step 6: Final answer
    x = 271.24

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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.