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Finding the Fourth Proportional to 327.54, 448.01 and 322.68

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Solution

The fourth proportional to 327.54, 448.01 and 322.68 is: 441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.54 : 448.01 = 322.68 : x
  2. Step 2: Convert to fraction form
    327.54/448.01 = 322.68/x
  3. Step 3: Cross multiply
    327.54x = 448.01 × 322.68
  4. Step 4: Simplify right side
    327.54x = 144,564.24
  5. Step 5: Solve for x
    x = 144,564.24/327.54
  6. Step 6: Final answer
    x = 441.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.