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Finding the Fourth Proportional to 664.75, 997.37 and 208.75

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Solution

The fourth proportional to 664.75, 997.37 and 208.75 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 997.37 = 208.75 : x
  2. Step 2: Convert to fraction form
    664.75/997.37 = 208.75/x
  3. Step 3: Cross multiply
    664.75x = 997.37 × 208.75
  4. Step 4: Simplify right side
    664.75x = 208,199.94
  5. Step 5: Solve for x
    x = 208,199.94/664.75
  6. Step 6: Final answer
    x = 313.20

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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.