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Finding the Fourth Proportional to 197.89, 273.15 and 145.42

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Solution

The fourth proportional to 197.89, 273.15 and 145.42 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.89 : 273.15 = 145.42 : x
  2. Step 2: Convert to fraction form
    197.89/273.15 = 145.42/x
  3. Step 3: Cross multiply
    197.89x = 273.15 × 145.42
  4. Step 4: Simplify right side
    197.89x = 39,720.79
  5. Step 5: Solve for x
    x = 39,720.79/197.89
  6. Step 6: Final answer
    x = 200.72

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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.