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Finding the Fourth Proportional to 196.44, 269.40 and 186.72

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Solution

The fourth proportional to 196.44, 269.40 and 186.72 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 269.40 = 186.72 : x
  2. Step 2: Convert to fraction form
    196.44/269.40 = 186.72/x
  3. Step 3: Cross multiply
    196.44x = 269.40 × 186.72
  4. Step 4: Simplify right side
    196.44x = 50,302.37
  5. Step 5: Solve for x
    x = 50,302.37/196.44
  6. Step 6: Final answer
    x = 256.07

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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.