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Finding the Fourth Proportional to 325.37, 448.99 and 194.38

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Solution

The fourth proportional to 325.37, 448.99 and 194.38 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.37 : 448.99 = 194.38 : x
  2. Step 2: Convert to fraction form
    325.37/448.99 = 194.38/x
  3. Step 3: Cross multiply
    325.37x = 448.99 × 194.38
  4. Step 4: Simplify right side
    325.37x = 87,274.68
  5. Step 5: Solve for x
    x = 87,274.68/325.37
  6. Step 6: Final answer
    x = 268.23

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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.