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Finding the Fourth Proportional to 258.06, 356.22 and 200.01

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Solution

The fourth proportional to 258.06, 356.22 and 200.01 is: 276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 356.22 = 200.01 : x
  2. Step 2: Convert to fraction form
    258.06/356.22 = 200.01/x
  3. Step 3: Cross multiply
    258.06x = 356.22 × 200.01
  4. Step 4: Simplify right side
    258.06x = 71,247.56
  5. Step 5: Solve for x
    x = 71,247.56/258.06
  6. Step 6: Final answer
    x = 276.09

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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.