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Finding the Fourth Proportional to 334.39, 461.34 and 194.46

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Solution

The fourth proportional to 334.39, 461.34 and 194.46 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.39 : 461.34 = 194.46 : x
  2. Step 2: Convert to fraction form
    334.39/461.34 = 194.46/x
  3. Step 3: Cross multiply
    334.39x = 461.34 × 194.46
  4. Step 4: Simplify right side
    334.39x = 89,710.63
  5. Step 5: Solve for x
    x = 89,710.63/334.39
  6. Step 6: Final answer
    x = 268.28

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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.