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Finding the Fourth Proportional to 327.36, 489.87 and 289.08

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Solution

The fourth proportional to 327.36, 489.87 and 289.08 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.36 : 489.87 = 289.08 : x
  2. Step 2: Convert to fraction form
    327.36/489.87 = 289.08/x
  3. Step 3: Cross multiply
    327.36x = 489.87 × 289.08
  4. Step 4: Simplify right side
    327.36x = 141,611.62
  5. Step 5: Solve for x
    x = 141,611.62/327.36
  6. Step 6: Final answer
    x = 432.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.