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Finding the Fourth Proportional to 389.41, 537.36 and 306.73

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Solution

The fourth proportional to 389.41, 537.36 and 306.73 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.41 : 537.36 = 306.73 : x
  2. Step 2: Convert to fraction form
    389.41/537.36 = 306.73/x
  3. Step 3: Cross multiply
    389.41x = 537.36 × 306.73
  4. Step 4: Simplify right side
    389.41x = 164,824.43
  5. Step 5: Solve for x
    x = 164,824.43/389.41
  6. Step 6: Final answer
    x = 423.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.