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Finding the Fourth Proportional to 270.44, 406.04 and 173.36

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Solution

The fourth proportional to 270.44, 406.04 and 173.36 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 406.04 = 173.36 : x
  2. Step 2: Convert to fraction form
    270.44/406.04 = 173.36/x
  3. Step 3: Cross multiply
    270.44x = 406.04 × 173.36
  4. Step 4: Simplify right side
    270.44x = 70,391.09
  5. Step 5: Solve for x
    x = 70,391.09/270.44
  6. Step 6: Final answer
    x = 260.28

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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.