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Finding the Fourth Proportional to 299.09, 412.73 and 166.31

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Solution

The fourth proportional to 299.09, 412.73 and 166.31 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.73 = 166.31 : x
  2. Step 2: Convert to fraction form
    299.09/412.73 = 166.31/x
  3. Step 3: Cross multiply
    299.09x = 412.73 × 166.31
  4. Step 4: Simplify right side
    299.09x = 68,638.23
  5. Step 5: Solve for x
    x = 68,638.23/299.09
  6. Step 6: Final answer
    x = 229.49

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Why These Related Problems?

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