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Finding the Fourth Proportional to 197.95, 273.04 and 154.39

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Solution

The fourth proportional to 197.95, 273.04 and 154.39 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 273.04 = 154.39 : x
  2. Step 2: Convert to fraction form
    197.95/273.04 = 154.39/x
  3. Step 3: Cross multiply
    197.95x = 273.04 × 154.39
  4. Step 4: Simplify right side
    197.95x = 42,154.65
  5. Step 5: Solve for x
    x = 42,154.65/197.95
  6. Step 6: Final answer
    x = 212.96

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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.