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Finding the Fourth Proportional to 327.60, 489.24 and 282.06

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Solution

The fourth proportional to 327.60, 489.24 and 282.06 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 489.24 = 282.06 : x
  2. Step 2: Convert to fraction form
    327.60/489.24 = 282.06/x
  3. Step 3: Cross multiply
    327.60x = 489.24 × 282.06
  4. Step 4: Simplify right side
    327.60x = 137,995.03
  5. Step 5: Solve for x
    x = 137,995.03/327.60
  6. Step 6: Final answer
    x = 421.23

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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.