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Finding the Fourth Proportional to 489, 674.84 and 267.98

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Solution

The fourth proportional to 489, 674.84 and 267.98 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 674.84 = 267.98 : x
  2. Step 2: Convert to fraction form
    489/674.84 = 267.98/x
  3. Step 3: Cross multiply
    489x = 674.84 × 267.98
  4. Step 4: Simplify right side
    489x = 180,843.62
  5. Step 5: Solve for x
    x = 180,843.62/489
  6. Step 6: Final answer
    x = 369.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.