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Finding the Fourth Proportional to 281.41, 388.40 and 164.97

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Solution

The fourth proportional to 281.41, 388.40 and 164.97 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 388.40 = 164.97 : x
  2. Step 2: Convert to fraction form
    281.41/388.40 = 164.97/x
  3. Step 3: Cross multiply
    281.41x = 388.40 × 164.97
  4. Step 4: Simplify right side
    281.41x = 64,073.52
  5. Step 5: Solve for x
    x = 64,073.52/281.41
  6. Step 6: Final answer
    x = 227.69

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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.