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Finding the Fourth Proportional to 355.09, 490.25 and 229.28

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Solution

The fourth proportional to 355.09, 490.25 and 229.28 is: 316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.09 : 490.25 = 229.28 : x
  2. Step 2: Convert to fraction form
    355.09/490.25 = 229.28/x
  3. Step 3: Cross multiply
    355.09x = 490.25 × 229.28
  4. Step 4: Simplify right side
    355.09x = 112,405.09
  5. Step 5: Solve for x
    x = 112,405.09/355.09
  6. Step 6: Final answer
    x = 316.56

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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.