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Finding the Fourth Proportional to 489.16, 674.98 and 279.33

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Solution

The fourth proportional to 489.16, 674.98 and 279.33 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 674.98 = 279.33 : x
  2. Step 2: Convert to fraction form
    489.16/674.98 = 279.33/x
  3. Step 3: Cross multiply
    489.16x = 674.98 × 279.33
  4. Step 4: Simplify right side
    489.16x = 188,542.16
  5. Step 5: Solve for x
    x = 188,542.16/489.16
  6. Step 6: Final answer
    x = 385.44

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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.