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Finding the Fourth Proportional to 442.27, 610.41 and 293.05

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Solution

The fourth proportional to 442.27, 610.41 and 293.05 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.27 : 610.41 = 293.05 : x
  2. Step 2: Convert to fraction form
    442.27/610.41 = 293.05/x
  3. Step 3: Cross multiply
    442.27x = 610.41 × 293.05
  4. Step 4: Simplify right side
    442.27x = 178,880.65
  5. Step 5: Solve for x
    x = 178,880.65/442.27
  6. Step 6: Final answer
    x = 404.46

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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.