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Finding the Fourth Proportional to 393.80, 591.12 and 348.44

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Solution

The fourth proportional to 393.80, 591.12 and 348.44 is: 523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.80 : 591.12 = 348.44 : x
  2. Step 2: Convert to fraction form
    393.80/591.12 = 348.44/x
  3. Step 3: Cross multiply
    393.80x = 591.12 × 348.44
  4. Step 4: Simplify right side
    393.80x = 205,969.85
  5. Step 5: Solve for x
    x = 205,969.85/393.80
  6. Step 6: Final answer
    x = 523.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.