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Finding the Fourth Proportional to 300.96, 450.68 and 164.07

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Solution

The fourth proportional to 300.96, 450.68 and 164.07 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 450.68 = 164.07 : x
  2. Step 2: Convert to fraction form
    300.96/450.68 = 164.07/x
  3. Step 3: Cross multiply
    300.96x = 450.68 × 164.07
  4. Step 4: Simplify right side
    300.96x = 73,942.25
  5. Step 5: Solve for x
    x = 73,942.25/300.96
  6. Step 6: Final answer
    x = 245.69

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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.