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Finding the Fourth Proportional to 334.07, 460.97 and 194.20

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Solution

The fourth proportional to 334.07, 460.97 and 194.20 is: 267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.07 : 460.97 = 194.20 : x
  2. Step 2: Convert to fraction form
    334.07/460.97 = 194.20/x
  3. Step 3: Cross multiply
    334.07x = 460.97 × 194.20
  4. Step 4: Simplify right side
    334.07x = 89,518.43
  5. Step 5: Solve for x
    x = 89,518.43/334.07
  6. Step 6: Final answer
    x = 267.96

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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.