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Finding the Fourth Proportional to 195.65, 292.85 and 104.21

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Solution

The fourth proportional to 195.65, 292.85 and 104.21 is: 155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.65 : 292.85 = 104.21 : x
  2. Step 2: Convert to fraction form
    195.65/292.85 = 104.21/x
  3. Step 3: Cross multiply
    195.65x = 292.85 × 104.21
  4. Step 4: Simplify right side
    195.65x = 30,515.91
  5. Step 5: Solve for x
    x = 30,515.91/195.65
  6. Step 6: Final answer
    x = 155.98

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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.