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Finding the Fourth Proportional to 300.54, 449.84 and 272.13

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Solution

The fourth proportional to 300.54, 449.84 and 272.13 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 449.84 = 272.13 : x
  2. Step 2: Convert to fraction form
    300.54/449.84 = 272.13/x
  3. Step 3: Cross multiply
    300.54x = 449.84 × 272.13
  4. Step 4: Simplify right side
    300.54x = 122,413.60
  5. Step 5: Solve for x
    x = 122,413.60/300.54
  6. Step 6: Final answer
    x = 407.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.