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Finding the Fourth Proportional to 293.21, 439.82 and 275.39

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Solution

The fourth proportional to 293.21, 439.82 and 275.39 is: 413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.21 : 439.82 = 275.39 : x
  2. Step 2: Convert to fraction form
    293.21/439.82 = 275.39/x
  3. Step 3: Cross multiply
    293.21x = 439.82 × 275.39
  4. Step 4: Simplify right side
    293.21x = 121,122.03
  5. Step 5: Solve for x
    x = 121,122.03/293.21
  6. Step 6: Final answer
    x = 413.09

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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.