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Finding the Fourth Proportional to 209.60, 312.82 and 195.92

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Solution

The fourth proportional to 209.60, 312.82 and 195.92 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 312.82 = 195.92 : x
  2. Step 2: Convert to fraction form
    209.60/312.82 = 195.92/x
  3. Step 3: Cross multiply
    209.60x = 312.82 × 195.92
  4. Step 4: Simplify right side
    209.60x = 61,287.69
  5. Step 5: Solve for x
    x = 61,287.69/209.60
  6. Step 6: Final answer
    x = 292.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.