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Finding the Fourth Proportional to 208.56, 311.10 and 196.14

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Solution

The fourth proportional to 208.56, 311.10 and 196.14 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 311.10 = 196.14 : x
  2. Step 2: Convert to fraction form
    208.56/311.10 = 196.14/x
  3. Step 3: Cross multiply
    208.56x = 311.10 × 196.14
  4. Step 4: Simplify right side
    208.56x = 61,019.15
  5. Step 5: Solve for x
    x = 61,019.15/208.56
  6. Step 6: Final answer
    x = 292.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.