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Finding the Fourth Proportional to 268.99, 371.21 and 164.08

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Solution

The fourth proportional to 268.99, 371.21 and 164.08 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.99 : 371.21 = 164.08 : x
  2. Step 2: Convert to fraction form
    268.99/371.21 = 164.08/x
  3. Step 3: Cross multiply
    268.99x = 371.21 × 164.08
  4. Step 4: Simplify right side
    268.99x = 60,907.00
  5. Step 5: Solve for x
    x = 60,907.00/268.99
  6. Step 6: Final answer
    x = 226.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.