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Finding the Fourth Proportional to 209.22, 315.42 and 195.84

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Solution

The fourth proportional to 209.22, 315.42 and 195.84 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 315.42 = 195.84 : x
  2. Step 2: Convert to fraction form
    209.22/315.42 = 195.84/x
  3. Step 3: Cross multiply
    209.22x = 315.42 × 195.84
  4. Step 4: Simplify right side
    209.22x = 61,771.85
  5. Step 5: Solve for x
    x = 61,771.85/209.22
  6. Step 6: Final answer
    x = 295.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.