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Finding the Fourth Proportional to 327.45, 489.01 and 309.68

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Solution

The fourth proportional to 327.45, 489.01 and 309.68 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 489.01 = 309.68 : x
  2. Step 2: Convert to fraction form
    327.45/489.01 = 309.68/x
  3. Step 3: Cross multiply
    327.45x = 489.01 × 309.68
  4. Step 4: Simplify right side
    327.45x = 151,436.62
  5. Step 5: Solve for x
    x = 151,436.62/327.45
  6. Step 6: Final answer
    x = 462.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.