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Finding the Fourth Proportional to 195.37, 270.89 and 189.16

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Solution

The fourth proportional to 195.37, 270.89 and 189.16 is: 262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.37 : 270.89 = 189.16 : x
  2. Step 2: Convert to fraction form
    195.37/270.89 = 189.16/x
  3. Step 3: Cross multiply
    195.37x = 270.89 × 189.16
  4. Step 4: Simplify right side
    195.37x = 51,241.55
  5. Step 5: Solve for x
    x = 51,241.55/195.37
  6. Step 6: Final answer
    x = 262.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.