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Finding the Fourth Proportional to 281.74, 389.19 and 238.54

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Solution

The fourth proportional to 281.74, 389.19 and 238.54 is: 329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 389.19 = 238.54 : x
  2. Step 2: Convert to fraction form
    281.74/389.19 = 238.54/x
  3. Step 3: Cross multiply
    281.74x = 389.19 × 238.54
  4. Step 4: Simplify right side
    281.74x = 92,837.38
  5. Step 5: Solve for x
    x = 92,837.38/281.74
  6. Step 6: Final answer
    x = 329.51

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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.