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Finding the Fourth Proportional to 333.92, 460.70 and 194

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Solution

The fourth proportional to 333.92, 460.70 and 194 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 460.70 = 194 : x
  2. Step 2: Convert to fraction form
    333.92/460.70 = 194/x
  3. Step 3: Cross multiply
    333.92x = 460.70 × 194
  4. Step 4: Simplify right side
    333.92x = 89,375.80
  5. Step 5: Solve for x
    x = 89,375.80/333.92
  6. Step 6: Final answer
    x = 267.66

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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.