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Finding the Fourth Proportional to 208.05, 313.31 and 195.90

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Solution

The fourth proportional to 208.05, 313.31 and 195.90 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.05 : 313.31 = 195.90 : x
  2. Step 2: Convert to fraction form
    208.05/313.31 = 195.90/x
  3. Step 3: Cross multiply
    208.05x = 313.31 × 195.90
  4. Step 4: Simplify right side
    208.05x = 61,376.45
  5. Step 5: Solve for x
    x = 61,376.45/208.05
  6. Step 6: Final answer
    x = 295.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.