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Finding the Fourth Proportional to 194.75, 292.31 and 92.10

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Solution

The fourth proportional to 194.75, 292.31 and 92.10 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.75 : 292.31 = 92.10 : x
  2. Step 2: Convert to fraction form
    194.75/292.31 = 92.10/x
  3. Step 3: Cross multiply
    194.75x = 292.31 × 92.10
  4. Step 4: Simplify right side
    194.75x = 26,921.29
  5. Step 5: Solve for x
    x = 26,921.29/194.75
  6. Step 6: Final answer
    x = 138.24

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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.