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Finding the Fourth Proportional to 489.14, 674.93 and 279.30

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Solution

The fourth proportional to 489.14, 674.93 and 279.30 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 674.93 = 279.30 : x
  2. Step 2: Convert to fraction form
    489.14/674.93 = 279.30/x
  3. Step 3: Cross multiply
    489.14x = 674.93 × 279.30
  4. Step 4: Simplify right side
    489.14x = 188,507.95
  5. Step 5: Solve for x
    x = 188,507.95/489.14
  6. Step 6: Final answer
    x = 385.39

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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.