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Finding the Fourth Proportional to 334.09, 460.46 and 245.39

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Solution

The fourth proportional to 334.09, 460.46 and 245.39 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 460.46 = 245.39 : x
  2. Step 2: Convert to fraction form
    334.09/460.46 = 245.39/x
  3. Step 3: Cross multiply
    334.09x = 460.46 × 245.39
  4. Step 4: Simplify right side
    334.09x = 112,989.98
  5. Step 5: Solve for x
    x = 112,989.98/334.09
  6. Step 6: Final answer
    x = 338.21

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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.