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Finding the Fourth Proportional to 273.44, 406.84 and 258.08

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Solution

The fourth proportional to 273.44, 406.84 and 258.08 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 406.84 = 258.08 : x
  2. Step 2: Convert to fraction form
    273.44/406.84 = 258.08/x
  3. Step 3: Cross multiply
    273.44x = 406.84 × 258.08
  4. Step 4: Simplify right side
    273.44x = 104,997.27
  5. Step 5: Solve for x
    x = 104,997.27/273.44
  6. Step 6: Final answer
    x = 383.99

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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.