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Finding the Fourth Proportional to 334.20, 500.94 and 225.60

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Solution

The fourth proportional to 334.20, 500.94 and 225.60 is: 338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.20 : 500.94 = 225.60 : x
  2. Step 2: Convert to fraction form
    334.20/500.94 = 225.60/x
  3. Step 3: Cross multiply
    334.20x = 500.94 × 225.60
  4. Step 4: Simplify right side
    334.20x = 113,012.06
  5. Step 5: Solve for x
    x = 113,012.06/334.20
  6. Step 6: Final answer
    x = 338.16

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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.