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Finding the Fourth Proportional to 489.07, 674.90 and 268.02

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Solution

The fourth proportional to 489.07, 674.90 and 268.02 is: 369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.07 : 674.90 = 268.02 : x
  2. Step 2: Convert to fraction form
    489.07/674.90 = 268.02/x
  3. Step 3: Cross multiply
    489.07x = 674.90 × 268.02
  4. Step 4: Simplify right side
    489.07x = 180,886.70
  5. Step 5: Solve for x
    x = 180,886.70/489.07
  6. Step 6: Final answer
    x = 369.86

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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.