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Finding the Fourth Proportional to 281.97, 422.02 and 248.14

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Solution

The fourth proportional to 281.97, 422.02 and 248.14 is: 371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 422.02 = 248.14 : x
  2. Step 2: Convert to fraction form
    281.97/422.02 = 248.14/x
  3. Step 3: Cross multiply
    281.97x = 422.02 × 248.14
  4. Step 4: Simplify right side
    281.97x = 104,718.37
  5. Step 5: Solve for x
    x = 104,718.37/281.97
  6. Step 6: Final answer
    x = 371.38

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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.