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Finding the Fourth Proportional to 800.06, 1,200.09 and 192.06

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Solution

The fourth proportional to 800.06, 1,200.09 and 192.06 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,200.09 = 192.06 : x
  2. Step 2: Convert to fraction form
    800.06/1,200.09 = 192.06/x
  3. Step 3: Cross multiply
    800.06x = 1,200.09 × 192.06
  4. Step 4: Simplify right side
    800.06x = 230,493.01
  5. Step 5: Solve for x
    x = 230,493.01/800.06
  6. Step 6: Final answer
    x = 288.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.