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Finding the Fourth Proportional to 225.11, 309.92 and 196.01

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Solution

The fourth proportional to 225.11, 309.92 and 196.01 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.11 : 309.92 = 196.01 : x
  2. Step 2: Convert to fraction form
    225.11/309.92 = 196.01/x
  3. Step 3: Cross multiply
    225.11x = 309.92 × 196.01
  4. Step 4: Simplify right side
    225.11x = 60,744.89
  5. Step 5: Solve for x
    x = 60,744.89/225.11
  6. Step 6: Final answer
    x = 269.84

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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.