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Finding the Fourth Proportional to 427.43, 589.46 and 280.14

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Solution

The fourth proportional to 427.43, 589.46 and 280.14 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.43 : 589.46 = 280.14 : x
  2. Step 2: Convert to fraction form
    427.43/589.46 = 280.14/x
  3. Step 3: Cross multiply
    427.43x = 589.46 × 280.14
  4. Step 4: Simplify right side
    427.43x = 165,129.92
  5. Step 5: Solve for x
    x = 165,129.92/427.43
  6. Step 6: Final answer
    x = 386.34

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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.