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Finding the Fourth Proportional to 344.44, 472.49 and 338.80

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Solution

The fourth proportional to 344.44, 472.49 and 338.80 is: 464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 472.49 = 338.80 : x
  2. Step 2: Convert to fraction form
    344.44/472.49 = 338.80/x
  3. Step 3: Cross multiply
    344.44x = 472.49 × 338.80
  4. Step 4: Simplify right side
    344.44x = 160,079.61
  5. Step 5: Solve for x
    x = 160,079.61/344.44
  6. Step 6: Final answer
    x = 464.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.