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Finding the Fourth Proportional to 665.98, 999.01 and 255.18

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Solution

The fourth proportional to 665.98, 999.01 and 255.18 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.98 : 999.01 = 255.18 : x
  2. Step 2: Convert to fraction form
    665.98/999.01 = 255.18/x
  3. Step 3: Cross multiply
    665.98x = 999.01 × 255.18
  4. Step 4: Simplify right side
    665.98x = 254,927.37
  5. Step 5: Solve for x
    x = 254,927.37/665.98
  6. Step 6: Final answer
    x = 382.79

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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.