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Finding the Fourth Proportional to 225.07, 335.98 and 197.73

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Solution

The fourth proportional to 225.07, 335.98 and 197.73 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 335.98 = 197.73 : x
  2. Step 2: Convert to fraction form
    225.07/335.98 = 197.73/x
  3. Step 3: Cross multiply
    225.07x = 335.98 × 197.73
  4. Step 4: Simplify right side
    225.07x = 66,433.33
  5. Step 5: Solve for x
    x = 66,433.33/225.07
  6. Step 6: Final answer
    x = 295.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.