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Finding the Fourth Proportional to 196.40, 269.46 and 180.08

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Solution

The fourth proportional to 196.40, 269.46 and 180.08 is: 247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 269.46 = 180.08 : x
  2. Step 2: Convert to fraction form
    196.40/269.46 = 180.08/x
  3. Step 3: Cross multiply
    196.40x = 269.46 × 180.08
  4. Step 4: Simplify right side
    196.40x = 48,524.36
  5. Step 5: Solve for x
    x = 48,524.36/196.40
  6. Step 6: Final answer
    x = 247.07

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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.