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Finding the Fourth Proportional to 208.52, 312.78 and 196.28

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Solution

The fourth proportional to 208.52, 312.78 and 196.28 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 312.78 = 196.28 : x
  2. Step 2: Convert to fraction form
    208.52/312.78 = 196.28/x
  3. Step 3: Cross multiply
    208.52x = 312.78 × 196.28
  4. Step 4: Simplify right side
    208.52x = 61,392.46
  5. Step 5: Solve for x
    x = 61,392.46/208.52
  6. Step 6: Final answer
    x = 294.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.