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Finding the Fourth Proportional to 209.50, 290.46 and 197.08

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Solution

The fourth proportional to 209.50, 290.46 and 197.08 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 290.46 = 197.08 : x
  2. Step 2: Convert to fraction form
    209.50/290.46 = 197.08/x
  3. Step 3: Cross multiply
    209.50x = 290.46 × 197.08
  4. Step 4: Simplify right side
    209.50x = 57,243.86
  5. Step 5: Solve for x
    x = 57,243.86/209.50
  6. Step 6: Final answer
    x = 273.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.