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Finding the Fourth Proportional to 355.47, 490.53 and 208.19

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Solution

The fourth proportional to 355.47, 490.53 and 208.19 is: 287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.47 : 490.53 = 208.19 : x
  2. Step 2: Convert to fraction form
    355.47/490.53 = 208.19/x
  3. Step 3: Cross multiply
    355.47x = 490.53 × 208.19
  4. Step 4: Simplify right side
    355.47x = 102,120.99
  5. Step 5: Solve for x
    x = 102,120.99/355.47
  6. Step 6: Final answer
    x = 287.28

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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.