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Finding the Fourth Proportional to 811.02, 1,216.41 and 226.08

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Solution

The fourth proportional to 811.02, 1,216.41 and 226.08 is: 339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,216.41 = 226.08 : x
  2. Step 2: Convert to fraction form
    811.02/1,216.41 = 226.08/x
  3. Step 3: Cross multiply
    811.02x = 1,216.41 × 226.08
  4. Step 4: Simplify right side
    811.02x = 275,005.97
  5. Step 5: Solve for x
    x = 275,005.97/811.02
  6. Step 6: Final answer
    x = 339.09

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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.