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Finding the Fourth Proportional to 442.26, 611.06 and 349.97

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Solution

The fourth proportional to 442.26, 611.06 and 349.97 is: 483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 611.06 = 349.97 : x
  2. Step 2: Convert to fraction form
    442.26/611.06 = 349.97/x
  3. Step 3: Cross multiply
    442.26x = 611.06 × 349.97
  4. Step 4: Simplify right side
    442.26x = 213,847.86
  5. Step 5: Solve for x
    x = 213,847.86/442.26
  6. Step 6: Final answer
    x = 483.53

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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.