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Finding the Fourth Proportional to 489.25, 675.21 and 279.44

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Solution

The fourth proportional to 489.25, 675.21 and 279.44 is: 385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.25 : 675.21 = 279.44 : x
  2. Step 2: Convert to fraction form
    489.25/675.21 = 279.44/x
  3. Step 3: Cross multiply
    489.25x = 675.21 × 279.44
  4. Step 4: Simplify right side
    489.25x = 188,680.68
  5. Step 5: Solve for x
    x = 188,680.68/489.25
  6. Step 6: Final answer
    x = 385.66

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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.