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Finding the Fourth Proportional to 327.46, 489.26 and 316.12

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Solution

The fourth proportional to 327.46, 489.26 and 316.12 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.46 : 489.26 = 316.12 : x
  2. Step 2: Convert to fraction form
    327.46/489.26 = 316.12/x
  3. Step 3: Cross multiply
    327.46x = 489.26 × 316.12
  4. Step 4: Simplify right side
    327.46x = 154,664.87
  5. Step 5: Solve for x
    x = 154,664.87/327.46
  6. Step 6: Final answer
    x = 472.32

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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.