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Finding the Fourth Proportional to 208.07, 311.90 and 77.98

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Solution

The fourth proportional to 208.07, 311.90 and 77.98 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 311.90 = 77.98 : x
  2. Step 2: Convert to fraction form
    208.07/311.90 = 77.98/x
  3. Step 3: Cross multiply
    208.07x = 311.90 × 77.98
  4. Step 4: Simplify right side
    208.07x = 24,321.96
  5. Step 5: Solve for x
    x = 24,321.96/208.07
  6. Step 6: Final answer
    x = 116.89

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Why These Related Problems?

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