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Finding the Fourth Proportional to 300.54, 450.45 and 108.06

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Solution

The fourth proportional to 300.54, 450.45 and 108.06 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 450.45 = 108.06 : x
  2. Step 2: Convert to fraction form
    300.54/450.45 = 108.06/x
  3. Step 3: Cross multiply
    300.54x = 450.45 × 108.06
  4. Step 4: Simplify right side
    300.54x = 48,675.63
  5. Step 5: Solve for x
    x = 48,675.63/300.54
  6. Step 6: Final answer
    x = 161.96

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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.