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Finding the Fourth Proportional to 298.43, 446.61 and 182.80

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Solution

The fourth proportional to 298.43, 446.61 and 182.80 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.43 : 446.61 = 182.80 : x
  2. Step 2: Convert to fraction form
    298.43/446.61 = 182.80/x
  3. Step 3: Cross multiply
    298.43x = 446.61 × 182.80
  4. Step 4: Simplify right side
    298.43x = 81,638.07
  5. Step 5: Solve for x
    x = 81,638.07/298.43
  6. Step 6: Final answer
    x = 273.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.