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Finding the Fourth Proportional to 355.72, 490.90 and 208.46

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Solution

The fourth proportional to 355.72, 490.90 and 208.46 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.72 : 490.90 = 208.46 : x
  2. Step 2: Convert to fraction form
    355.72/490.90 = 208.46/x
  3. Step 3: Cross multiply
    355.72x = 490.90 × 208.46
  4. Step 4: Simplify right side
    355.72x = 102,333.01
  5. Step 5: Solve for x
    x = 102,333.01/355.72
  6. Step 6: Final answer
    x = 287.68

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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.