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Finding the Fourth Proportional to 196.02, 269.26 and 163.08

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Solution

The fourth proportional to 196.02, 269.26 and 163.08 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 269.26 = 163.08 : x
  2. Step 2: Convert to fraction form
    196.02/269.26 = 163.08/x
  3. Step 3: Cross multiply
    196.02x = 269.26 × 163.08
  4. Step 4: Simplify right side
    196.02x = 43,910.51
  5. Step 5: Solve for x
    x = 43,910.51/196.02
  6. Step 6: Final answer
    x = 224.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.