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Finding the Fourth Proportional to 397.90, 548.82 and 280.12

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Solution

The fourth proportional to 397.90, 548.82 and 280.12 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 548.82 = 280.12 : x
  2. Step 2: Convert to fraction form
    397.90/548.82 = 280.12/x
  3. Step 3: Cross multiply
    397.90x = 548.82 × 280.12
  4. Step 4: Simplify right side
    397.90x = 153,734.09
  5. Step 5: Solve for x
    x = 153,734.09/397.90
  6. Step 6: Final answer
    x = 386.37

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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.