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Finding the Fourth Proportional to 325.82, 449.25 and 288.36

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Solution

The fourth proportional to 325.82, 449.25 and 288.36 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.82 : 449.25 = 288.36 : x
  2. Step 2: Convert to fraction form
    325.82/449.25 = 288.36/x
  3. Step 3: Cross multiply
    325.82x = 449.25 × 288.36
  4. Step 4: Simplify right side
    325.82x = 129,544.65
  5. Step 5: Solve for x
    x = 129,544.65/325.82
  6. Step 6: Final answer
    x = 397.59

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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.