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Finding the Fourth Proportional to 1,091.00, 1,636.47 and 269.28

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Solution

The fourth proportional to 1,091.00, 1,636.47 and 269.28 is: 403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.00 : 1,636.47 = 269.28 : x
  2. Step 2: Convert to fraction form
    1,091.00/1,636.47 = 269.28/x
  3. Step 3: Cross multiply
    1,091.00x = 1,636.47 × 269.28
  4. Step 4: Simplify right side
    1,091.00x = 440,668.64
  5. Step 5: Solve for x
    x = 440,668.64/1,091.00
  6. Step 6: Final answer
    x = 403.91

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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.