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Finding the Fourth Proportional to 208.56, 311.36 and 185.50

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Solution

The fourth proportional to 208.56, 311.36 and 185.50 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 311.36 = 185.50 : x
  2. Step 2: Convert to fraction form
    208.56/311.36 = 185.50/x
  3. Step 3: Cross multiply
    208.56x = 311.36 × 185.50
  4. Step 4: Simplify right side
    208.56x = 57,756.64
  5. Step 5: Solve for x
    x = 57,756.64/208.56
  6. Step 6: Final answer
    x = 276.93

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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.