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Finding the Fourth Proportional to 327.96, 489.60 and 317.88

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Solution

The fourth proportional to 327.96, 489.60 and 317.88 is: 474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 489.60 = 317.88 : x
  2. Step 2: Convert to fraction form
    327.96/489.60 = 317.88/x
  3. Step 3: Cross multiply
    327.96x = 489.60 × 317.88
  4. Step 4: Simplify right side
    327.96x = 155,634.05
  5. Step 5: Solve for x
    x = 155,634.05/327.96
  6. Step 6: Final answer
    x = 474.55

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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.