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Finding the Fourth Proportional to 193.91, 289.35 and 182.30

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Solution

The fourth proportional to 193.91, 289.35 and 182.30 is: 272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.91 : 289.35 = 182.30 : x
  2. Step 2: Convert to fraction form
    193.91/289.35 = 182.30/x
  3. Step 3: Cross multiply
    193.91x = 289.35 × 182.30
  4. Step 4: Simplify right side
    193.91x = 52,747.06
  5. Step 5: Solve for x
    x = 52,747.06/193.91
  6. Step 6: Final answer
    x = 272.03

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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.