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Finding the Fourth Proportional to 273.03, 406.79 and 259.26

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Solution

The fourth proportional to 273.03, 406.79 and 259.26 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.03 : 406.79 = 259.26 : x
  2. Step 2: Convert to fraction form
    273.03/406.79 = 259.26/x
  3. Step 3: Cross multiply
    273.03x = 406.79 × 259.26
  4. Step 4: Simplify right side
    273.03x = 105,463.08
  5. Step 5: Solve for x
    x = 105,463.08/273.03
  6. Step 6: Final answer
    x = 386.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.