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Finding the Fourth Proportional to 293.58, 406.99 and 277.97

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Solution

The fourth proportional to 293.58, 406.99 and 277.97 is: 385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 406.99 = 277.97 : x
  2. Step 2: Convert to fraction form
    293.58/406.99 = 277.97/x
  3. Step 3: Cross multiply
    293.58x = 406.99 × 277.97
  4. Step 4: Simplify right side
    293.58x = 113,133.54
  5. Step 5: Solve for x
    x = 113,133.54/293.58
  6. Step 6: Final answer
    x = 385.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.