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Finding the Fourth Proportional to 343.64, 513.33 and 331.49

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Solution

The fourth proportional to 343.64, 513.33 and 331.49 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 513.33 = 331.49 : x
  2. Step 2: Convert to fraction form
    343.64/513.33 = 331.49/x
  3. Step 3: Cross multiply
    343.64x = 513.33 × 331.49
  4. Step 4: Simplify right side
    343.64x = 170,163.80
  5. Step 5: Solve for x
    x = 170,163.80/343.64
  6. Step 6: Final answer
    x = 495.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.