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Finding the Fourth Proportional to 325.22, 448.83 and 194.22

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Solution

The fourth proportional to 325.22, 448.83 and 194.22 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.22 : 448.83 = 194.22 : x
  2. Step 2: Convert to fraction form
    325.22/448.83 = 194.22/x
  3. Step 3: Cross multiply
    325.22x = 448.83 × 194.22
  4. Step 4: Simplify right side
    325.22x = 87,171.76
  5. Step 5: Solve for x
    x = 87,171.76/325.22
  6. Step 6: Final answer
    x = 268.04

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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.