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Finding the Fourth Proportional to 194.80, 292.36 and 92.12

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Solution

The fourth proportional to 194.80, 292.36 and 92.12 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 292.36 = 92.12 : x
  2. Step 2: Convert to fraction form
    194.80/292.36 = 92.12/x
  3. Step 3: Cross multiply
    194.80x = 292.36 × 92.12
  4. Step 4: Simplify right side
    194.80x = 26,932.20
  5. Step 5: Solve for x
    x = 26,932.20/194.80
  6. Step 6: Final answer
    x = 138.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.