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Finding the Fourth Proportional to 225.38, 336.45 and 198.05

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Solution

The fourth proportional to 225.38, 336.45 and 198.05 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 336.45 = 198.05 : x
  2. Step 2: Convert to fraction form
    225.38/336.45 = 198.05/x
  3. Step 3: Cross multiply
    225.38x = 336.45 × 198.05
  4. Step 4: Simplify right side
    225.38x = 66,632.13
  5. Step 5: Solve for x
    x = 66,632.13/225.38
  6. Step 6: Final answer
    x = 295.64

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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.