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Finding the Fourth Proportional to 355.42, 490.44 and 200.17

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Solution

The fourth proportional to 355.42, 490.44 and 200.17 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 490.44 = 200.17 : x
  2. Step 2: Convert to fraction form
    355.42/490.44 = 200.17/x
  3. Step 3: Cross multiply
    355.42x = 490.44 × 200.17
  4. Step 4: Simplify right side
    355.42x = 98,171.37
  5. Step 5: Solve for x
    x = 98,171.37/355.42
  6. Step 6: Final answer
    x = 276.21

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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.