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Finding the Fourth Proportional to 316.03, 436.00 and 196.34

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Solution

The fourth proportional to 316.03, 436.00 and 196.34 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.03 : 436.00 = 196.34 : x
  2. Step 2: Convert to fraction form
    316.03/436.00 = 196.34/x
  3. Step 3: Cross multiply
    316.03x = 436.00 × 196.34
  4. Step 4: Simplify right side
    316.03x = 85,604.49
  5. Step 5: Solve for x
    x = 85,604.49/316.03
  6. Step 6: Final answer
    x = 270.87

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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.