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Finding the Fourth Proportional to 299.07, 412.73 and 166.30

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Solution

The fourth proportional to 299.07, 412.73 and 166.30 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 412.73 = 166.30 : x
  2. Step 2: Convert to fraction form
    299.07/412.73 = 166.30/x
  3. Step 3: Cross multiply
    299.07x = 412.73 × 166.30
  4. Step 4: Simplify right side
    299.07x = 68,634.94
  5. Step 5: Solve for x
    x = 68,634.94/299.07
  6. Step 6: Final answer
    x = 229.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.