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Finding the Fourth Proportional to 427.09, 589.44 and 252.43

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Solution

The fourth proportional to 427.09, 589.44 and 252.43 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 589.44 = 252.43 : x
  2. Step 2: Convert to fraction form
    427.09/589.44 = 252.43/x
  3. Step 3: Cross multiply
    427.09x = 589.44 × 252.43
  4. Step 4: Simplify right side
    427.09x = 148,792.34
  5. Step 5: Solve for x
    x = 148,792.34/427.09
  6. Step 6: Final answer
    x = 348.39

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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.