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Finding the Fourth Proportional to 225.24, 311.33 and 198.83

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Solution

The fourth proportional to 225.24, 311.33 and 198.83 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 311.33 = 198.83 : x
  2. Step 2: Convert to fraction form
    225.24/311.33 = 198.83/x
  3. Step 3: Cross multiply
    225.24x = 311.33 × 198.83
  4. Step 4: Simplify right side
    225.24x = 61,899.19
  5. Step 5: Solve for x
    x = 61,899.19/225.24
  6. Step 6: Final answer
    x = 274.81

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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.