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Finding the Fourth Proportional to 389.78, 537.37 and 323.14

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Solution

The fourth proportional to 389.78, 537.37 and 323.14 is: 445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.78 : 537.37 = 323.14 : x
  2. Step 2: Convert to fraction form
    389.78/537.37 = 323.14/x
  3. Step 3: Cross multiply
    389.78x = 537.37 × 323.14
  4. Step 4: Simplify right side
    389.78x = 173,641.44
  5. Step 5: Solve for x
    x = 173,641.44/389.78
  6. Step 6: Final answer
    x = 445.49

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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.