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Finding the Fourth Proportional to 1,091.05, 1,636.39 and 300.22

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Solution

The fourth proportional to 1,091.05, 1,636.39 and 300.22 is: 450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.05 : 1,636.39 = 300.22 : x
  2. Step 2: Convert to fraction form
    1,091.05/1,636.39 = 300.22/x
  3. Step 3: Cross multiply
    1,091.05x = 1,636.39 × 300.22
  4. Step 4: Simplify right side
    1,091.05x = 491,281.85
  5. Step 5: Solve for x
    x = 491,281.85/1,091.05
  6. Step 6: Final answer
    x = 450.28

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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.