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Finding the Fourth Proportional to 327.60, 489.60 and 295.20

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Solution

The fourth proportional to 327.60, 489.60 and 295.20 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 489.60 = 295.20 : x
  2. Step 2: Convert to fraction form
    327.60/489.60 = 295.20/x
  3. Step 3: Cross multiply
    327.60x = 489.60 × 295.20
  4. Step 4: Simplify right side
    327.60x = 144,529.92
  5. Step 5: Solve for x
    x = 144,529.92/327.60
  6. Step 6: Final answer
    x = 441.18

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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.