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Finding the Fourth Proportional to 355.14, 490.07 and 205.74

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Solution

The fourth proportional to 355.14, 490.07 and 205.74 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 490.07 = 205.74 : x
  2. Step 2: Convert to fraction form
    355.14/490.07 = 205.74/x
  3. Step 3: Cross multiply
    355.14x = 490.07 × 205.74
  4. Step 4: Simplify right side
    355.14x = 100,824.14
  5. Step 5: Solve for x
    x = 100,824.14/355.14
  6. Step 6: Final answer
    x = 283.90

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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.