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Finding the Fourth Proportional to 270.95, 374.02 and 197.79

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Solution

The fourth proportional to 270.95, 374.02 and 197.79 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 374.02 = 197.79 : x
  2. Step 2: Convert to fraction form
    270.95/374.02 = 197.79/x
  3. Step 3: Cross multiply
    270.95x = 374.02 × 197.79
  4. Step 4: Simplify right side
    270.95x = 73,977.62
  5. Step 5: Solve for x
    x = 73,977.62/270.95
  6. Step 6: Final answer
    x = 273.04

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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.