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Finding the Fourth Proportional to 197.99, 273.53 and 151.55

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Solution

The fourth proportional to 197.99, 273.53 and 151.55 is: 209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.99 : 273.53 = 151.55 : x
  2. Step 2: Convert to fraction form
    197.99/273.53 = 151.55/x
  3. Step 3: Cross multiply
    197.99x = 273.53 × 151.55
  4. Step 4: Simplify right side
    197.99x = 41,451.35
  5. Step 5: Solve for x
    x = 41,451.35/197.99
  6. Step 6: Final answer
    x = 209.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.