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Finding the Fourth Proportional to 428.14, 589.92 and 339.97

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Solution

The fourth proportional to 428.14, 589.92 and 339.97 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 589.92 = 339.97 : x
  2. Step 2: Convert to fraction form
    428.14/589.92 = 339.97/x
  3. Step 3: Cross multiply
    428.14x = 589.92 × 339.97
  4. Step 4: Simplify right side
    428.14x = 200,555.10
  5. Step 5: Solve for x
    x = 200,555.10/428.14
  6. Step 6: Final answer
    x = 468.43

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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.