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Finding the Fourth Proportional to 208.45, 312.37 and 193.26

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Solution

The fourth proportional to 208.45, 312.37 and 193.26 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 312.37 = 193.26 : x
  2. Step 2: Convert to fraction form
    208.45/312.37 = 193.26/x
  3. Step 3: Cross multiply
    208.45x = 312.37 × 193.26
  4. Step 4: Simplify right side
    208.45x = 60,367.66
  5. Step 5: Solve for x
    x = 60,367.66/208.45
  6. Step 6: Final answer
    x = 289.60

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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.