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Finding the Fourth Proportional to 355.87, 490.98 and 224.83

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Solution

The fourth proportional to 355.87, 490.98 and 224.83 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.87 : 490.98 = 224.83 : x
  2. Step 2: Convert to fraction form
    355.87/490.98 = 224.83/x
  3. Step 3: Cross multiply
    355.87x = 490.98 × 224.83
  4. Step 4: Simplify right side
    355.87x = 110,387.03
  5. Step 5: Solve for x
    x = 110,387.03/355.87
  6. Step 6: Final answer
    x = 310.19

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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.