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Finding the Fourth Proportional to 196.64, 270.78 and 165.50

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Solution

The fourth proportional to 196.64, 270.78 and 165.50 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 270.78 = 165.50 : x
  2. Step 2: Convert to fraction form
    196.64/270.78 = 165.50/x
  3. Step 3: Cross multiply
    196.64x = 270.78 × 165.50
  4. Step 4: Simplify right side
    196.64x = 44,814.09
  5. Step 5: Solve for x
    x = 44,814.09/196.64
  6. Step 6: Final answer
    x = 227.90

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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.