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Finding the Fourth Proportional to 197.69, 273.15 and 162.69

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Solution

The fourth proportional to 197.69, 273.15 and 162.69 is: 224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 273.15 = 162.69 : x
  2. Step 2: Convert to fraction form
    197.69/273.15 = 162.69/x
  3. Step 3: Cross multiply
    197.69x = 273.15 × 162.69
  4. Step 4: Simplify right side
    197.69x = 44,438.77
  5. Step 5: Solve for x
    x = 44,438.77/197.69
  6. Step 6: Final answer
    x = 224.80

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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.