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Finding the Fourth Proportional to 270.32, 372.99 and 196.67

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Solution

The fourth proportional to 270.32, 372.99 and 196.67 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 372.99 = 196.67 : x
  2. Step 2: Convert to fraction form
    270.32/372.99 = 196.67/x
  3. Step 3: Cross multiply
    270.32x = 372.99 × 196.67
  4. Step 4: Simplify right side
    270.32x = 73,355.94
  5. Step 5: Solve for x
    x = 73,355.94/270.32
  6. Step 6: Final answer
    x = 271.37

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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.