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Finding the Fourth Proportional to 355.45, 490.64 and 208.13

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Solution

The fourth proportional to 355.45, 490.64 and 208.13 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.45 : 490.64 = 208.13 : x
  2. Step 2: Convert to fraction form
    355.45/490.64 = 208.13/x
  3. Step 3: Cross multiply
    355.45x = 490.64 × 208.13
  4. Step 4: Simplify right side
    355.45x = 102,116.90
  5. Step 5: Solve for x
    x = 102,116.90/355.45
  6. Step 6: Final answer
    x = 287.29

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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.