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Finding the Fourth Proportional to 200.99, 276.10 and 164.03

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Solution

The fourth proportional to 200.99, 276.10 and 164.03 is: 225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.99 : 276.10 = 164.03 : x
  2. Step 2: Convert to fraction form
    200.99/276.10 = 164.03/x
  3. Step 3: Cross multiply
    200.99x = 276.10 × 164.03
  4. Step 4: Simplify right side
    200.99x = 45,288.68
  5. Step 5: Solve for x
    x = 45,288.68/200.99
  6. Step 6: Final answer
    x = 225.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.