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Finding the Fourth Proportional to 194.56, 293.26 and 183.42

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Solution

The fourth proportional to 194.56, 293.26 and 183.42 is: 276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 293.26 = 183.42 : x
  2. Step 2: Convert to fraction form
    194.56/293.26 = 183.42/x
  3. Step 3: Cross multiply
    194.56x = 293.26 × 183.42
  4. Step 4: Simplify right side
    194.56x = 53,789.75
  5. Step 5: Solve for x
    x = 53,789.75/194.56
  6. Step 6: Final answer
    x = 276.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.