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Finding the Fourth Proportional to 344.40, 471.78 and 343.44

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Solution

The fourth proportional to 344.40, 471.78 and 343.44 is: 470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 471.78 = 343.44 : x
  2. Step 2: Convert to fraction form
    344.40/471.78 = 343.44/x
  3. Step 3: Cross multiply
    344.40x = 471.78 × 343.44
  4. Step 4: Simplify right side
    344.40x = 162,028.12
  5. Step 5: Solve for x
    x = 162,028.12/344.40
  6. Step 6: Final answer
    x = 470.46

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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.