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Finding the Fourth Proportional to 300.12, 450.36 and 268.44

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Solution

The fourth proportional to 300.12, 450.36 and 268.44 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 450.36 = 268.44 : x
  2. Step 2: Convert to fraction form
    300.12/450.36 = 268.44/x
  3. Step 3: Cross multiply
    300.12x = 450.36 × 268.44
  4. Step 4: Simplify right side
    300.12x = 120,894.64
  5. Step 5: Solve for x
    x = 120,894.64/300.12
  6. Step 6: Final answer
    x = 402.82

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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.