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Finding the Fourth Proportional to 327.66, 449.75 and 289.99

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Solution

The fourth proportional to 327.66, 449.75 and 289.99 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 449.75 = 289.99 : x
  2. Step 2: Convert to fraction form
    327.66/449.75 = 289.99/x
  3. Step 3: Cross multiply
    327.66x = 449.75 × 289.99
  4. Step 4: Simplify right side
    327.66x = 130,423.00
  5. Step 5: Solve for x
    x = 130,423.00/327.66
  6. Step 6: Final answer
    x = 398.04

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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.