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Finding the Fourth Proportional to 344.90, 472.87 and 338.74

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Solution

The fourth proportional to 344.90, 472.87 and 338.74 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 472.87 = 338.74 : x
  2. Step 2: Convert to fraction form
    344.90/472.87 = 338.74/x
  3. Step 3: Cross multiply
    344.90x = 472.87 × 338.74
  4. Step 4: Simplify right side
    344.90x = 160,179.98
  5. Step 5: Solve for x
    x = 160,179.98/344.90
  6. Step 6: Final answer
    x = 464.42

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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.