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Finding the Fourth Proportional to 326.63, 490.25 and 224.57

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Solution

The fourth proportional to 326.63, 490.25 and 224.57 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.63 : 490.25 = 224.57 : x
  2. Step 2: Convert to fraction form
    326.63/490.25 = 224.57/x
  3. Step 3: Cross multiply
    326.63x = 490.25 × 224.57
  4. Step 4: Simplify right side
    326.63x = 110,097.23
  5. Step 5: Solve for x
    x = 110,097.23/326.63
  6. Step 6: Final answer
    x = 337.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.