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Finding the Fourth Proportional to 298.97, 446.44 and 281.88

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Solution

The fourth proportional to 298.97, 446.44 and 281.88 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.97 : 446.44 = 281.88 : x
  2. Step 2: Convert to fraction form
    298.97/446.44 = 281.88/x
  3. Step 3: Cross multiply
    298.97x = 446.44 × 281.88
  4. Step 4: Simplify right side
    298.97x = 125,841.54
  5. Step 5: Solve for x
    x = 125,841.54/298.97
  6. Step 6: Final answer
    x = 420.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.