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Finding the Fourth Proportional to 293.92, 407.04 and 272.80

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Solution

The fourth proportional to 293.92, 407.04 and 272.80 is: 377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.92 : 407.04 = 272.80 : x
  2. Step 2: Convert to fraction form
    293.92/407.04 = 272.80/x
  3. Step 3: Cross multiply
    293.92x = 407.04 × 272.80
  4. Step 4: Simplify right side
    293.92x = 111,040.51
  5. Step 5: Solve for x
    x = 111,040.51/293.92
  6. Step 6: Final answer
    x = 377.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.