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Finding the Fourth Proportional to 194.03, 289.20 and 183.09

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Solution

The fourth proportional to 194.03, 289.20 and 183.09 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.03 : 289.20 = 183.09 : x
  2. Step 2: Convert to fraction form
    194.03/289.20 = 183.09/x
  3. Step 3: Cross multiply
    194.03x = 289.20 × 183.09
  4. Step 4: Simplify right side
    194.03x = 52,949.63
  5. Step 5: Solve for x
    x = 52,949.63/194.03
  6. Step 6: Final answer
    x = 272.90

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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.