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Finding the Fourth Proportional to 194.65, 292.06 and 103.22

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Solution

The fourth proportional to 194.65, 292.06 and 103.22 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 292.06 = 103.22 : x
  2. Step 2: Convert to fraction form
    194.65/292.06 = 103.22/x
  3. Step 3: Cross multiply
    194.65x = 292.06 × 103.22
  4. Step 4: Simplify right side
    194.65x = 30,147.26
  5. Step 5: Solve for x
    x = 30,147.26/194.65
  6. Step 6: Final answer
    x = 154.88

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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.