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Finding the Fourth Proportional to 355.30, 490.38 and 207.97

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Solution

The fourth proportional to 355.30, 490.38 and 207.97 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.30 : 490.38 = 207.97 : x
  2. Step 2: Convert to fraction form
    355.30/490.38 = 207.97/x
  3. Step 3: Cross multiply
    355.30x = 490.38 × 207.97
  4. Step 4: Simplify right side
    355.30x = 101,984.33
  5. Step 5: Solve for x
    x = 101,984.33/355.30
  6. Step 6: Final answer
    x = 287.04

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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.