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Finding the Fourth Proportional to 197.89, 273.16 and 148.91

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Solution

The fourth proportional to 197.89, 273.16 and 148.91 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.89 : 273.16 = 148.91 : x
  2. Step 2: Convert to fraction form
    197.89/273.16 = 148.91/x
  3. Step 3: Cross multiply
    197.89x = 273.16 × 148.91
  4. Step 4: Simplify right side
    197.89x = 40,676.02
  5. Step 5: Solve for x
    x = 40,676.02/197.89
  6. Step 6: Final answer
    x = 205.55

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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.