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Finding the Fourth Proportional to 200.46, 276.73 and 164.01

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Solution

The fourth proportional to 200.46, 276.73 and 164.01 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 276.73 = 164.01 : x
  2. Step 2: Convert to fraction form
    200.46/276.73 = 164.01/x
  3. Step 3: Cross multiply
    200.46x = 276.73 × 164.01
  4. Step 4: Simplify right side
    200.46x = 45,386.08
  5. Step 5: Solve for x
    x = 45,386.08/200.46
  6. Step 6: Final answer
    x = 226.41

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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.