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Finding the Fourth Proportional to 489.11, 674.85 and 300.16

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Solution

The fourth proportional to 489.11, 674.85 and 300.16 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 674.85 = 300.16 : x
  2. Step 2: Convert to fraction form
    489.11/674.85 = 300.16/x
  3. Step 3: Cross multiply
    489.11x = 674.85 × 300.16
  4. Step 4: Simplify right side
    489.11x = 202,559.60
  5. Step 5: Solve for x
    x = 202,559.60/489.11
  6. Step 6: Final answer
    x = 414.14

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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.