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Finding the Fourth Proportional to 355.63, 490.78 and 200.38

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Solution

The fourth proportional to 355.63, 490.78 and 200.38 is: 276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.63 : 490.78 = 200.38 : x
  2. Step 2: Convert to fraction form
    355.63/490.78 = 200.38/x
  3. Step 3: Cross multiply
    355.63x = 490.78 × 200.38
  4. Step 4: Simplify right side
    355.63x = 98,342.50
  5. Step 5: Solve for x
    x = 98,342.50/355.63
  6. Step 6: Final answer
    x = 276.53

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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.