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Finding the Fourth Proportional to 415.23, 622.80 and 168.37

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Solution

The fourth proportional to 415.23, 622.80 and 168.37 is: 252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 622.80 = 168.37 : x
  2. Step 2: Convert to fraction form
    415.23/622.80 = 168.37/x
  3. Step 3: Cross multiply
    415.23x = 622.80 × 168.37
  4. Step 4: Simplify right side
    415.23x = 104,860.84
  5. Step 5: Solve for x
    x = 104,860.84/415.23
  6. Step 6: Final answer
    x = 252.54

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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.