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Finding the Fourth Proportional to 310.21, 427.91 and 197.96

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Solution

The fourth proportional to 310.21, 427.91 and 197.96 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.21 : 427.91 = 197.96 : x
  2. Step 2: Convert to fraction form
    310.21/427.91 = 197.96/x
  3. Step 3: Cross multiply
    310.21x = 427.91 × 197.96
  4. Step 4: Simplify right side
    310.21x = 84,705.93
  5. Step 5: Solve for x
    x = 84,705.93/310.21
  6. Step 6: Final answer
    x = 273.06

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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.