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Finding the Fourth Proportional to 194.92, 292.40 and 79.40

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Solution

The fourth proportional to 194.92, 292.40 and 79.40 is: 119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 292.40 = 79.40 : x
  2. Step 2: Convert to fraction form
    194.92/292.40 = 79.40/x
  3. Step 3: Cross multiply
    194.92x = 292.40 × 79.40
  4. Step 4: Simplify right side
    194.92x = 23,216.56
  5. Step 5: Solve for x
    x = 23,216.56/194.92
  6. Step 6: Final answer
    x = 119.11

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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.