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Finding the Fourth Proportional to 489.21, 675.07 and 268.11

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Solution

The fourth proportional to 489.21, 675.07 and 268.11 is: 369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.21 : 675.07 = 268.11 : x
  2. Step 2: Convert to fraction form
    489.21/675.07 = 268.11/x
  3. Step 3: Cross multiply
    489.21x = 675.07 × 268.11
  4. Step 4: Simplify right side
    489.21x = 180,993.02
  5. Step 5: Solve for x
    x = 180,993.02/489.21
  6. Step 6: Final answer
    x = 369.97

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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.