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Finding the Fourth Proportional to 208.02, 311.94 and 78.02

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Solution

The fourth proportional to 208.02, 311.94 and 78.02 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 311.94 = 78.02 : x
  2. Step 2: Convert to fraction form
    208.02/311.94 = 78.02/x
  3. Step 3: Cross multiply
    208.02x = 311.94 × 78.02
  4. Step 4: Simplify right side
    208.02x = 24,336.00
  5. Step 5: Solve for x
    x = 24,336.00/208.02
  6. Step 6: Final answer
    x = 116.99

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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.