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Finding the Fourth Proportional to 393.37, 589.29 and 348.73

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Solution

The fourth proportional to 393.37, 589.29 and 348.73 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.37 : 589.29 = 348.73 : x
  2. Step 2: Convert to fraction form
    393.37/589.29 = 348.73/x
  3. Step 3: Cross multiply
    393.37x = 589.29 × 348.73
  4. Step 4: Simplify right side
    393.37x = 205,503.10
  5. Step 5: Solve for x
    x = 205,503.10/393.37
  6. Step 6: Final answer
    x = 522.42

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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.