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Finding the Fourth Proportional to 196.01, 269.89 and 171.30

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Solution

The fourth proportional to 196.01, 269.89 and 171.30 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.01 : 269.89 = 171.30 : x
  2. Step 2: Convert to fraction form
    196.01/269.89 = 171.30/x
  3. Step 3: Cross multiply
    196.01x = 269.89 × 171.30
  4. Step 4: Simplify right side
    196.01x = 46,232.16
  5. Step 5: Solve for x
    x = 46,232.16/196.01
  6. Step 6: Final answer
    x = 235.87

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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.