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Finding the Fourth Proportional to 327.86, 449.51 and 322.01

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Solution

The fourth proportional to 327.86, 449.51 and 322.01 is: 441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 449.51 = 322.01 : x
  2. Step 2: Convert to fraction form
    327.86/449.51 = 322.01/x
  3. Step 3: Cross multiply
    327.86x = 449.51 × 322.01
  4. Step 4: Simplify right side
    327.86x = 144,742.86
  5. Step 5: Solve for x
    x = 144,742.86/327.86
  6. Step 6: Final answer
    x = 441.48

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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.