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Finding the Fourth Proportional to 664.98, 997.36 and 178.00

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Solution

The fourth proportional to 664.98, 997.36 and 178.00 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 997.36 = 178.00 : x
  2. Step 2: Convert to fraction form
    664.98/997.36 = 178.00/x
  3. Step 3: Cross multiply
    664.98x = 997.36 × 178.00
  4. Step 4: Simplify right side
    664.98x = 177,528.14
  5. Step 5: Solve for x
    x = 177,528.14/664.98
  6. Step 6: Final answer
    x = 266.97

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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.