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Finding the Fourth Proportional to 200.88, 300.11 and 164.84

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Solution

The fourth proportional to 200.88, 300.11 and 164.84 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 300.11 = 164.84 : x
  2. Step 2: Convert to fraction form
    200.88/300.11 = 164.84/x
  3. Step 3: Cross multiply
    200.88x = 300.11 × 164.84
  4. Step 4: Simplify right side
    200.88x = 49,467.81
  5. Step 5: Solve for x
    x = 49,467.81/200.88
  6. Step 6: Final answer
    x = 246.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.