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Finding the Fourth Proportional to 298.38, 443.49 and 281.10

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Solution

The fourth proportional to 298.38, 443.49 and 281.10 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.38 : 443.49 = 281.10 : x
  2. Step 2: Convert to fraction form
    298.38/443.49 = 281.10/x
  3. Step 3: Cross multiply
    298.38x = 443.49 × 281.10
  4. Step 4: Simplify right side
    298.38x = 124,665.04
  5. Step 5: Solve for x
    x = 124,665.04/298.38
  6. Step 6: Final answer
    x = 417.81

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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.