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Finding the Fourth Proportional to 281.41, 386.29 and 259.54

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Solution

The fourth proportional to 281.41, 386.29 and 259.54 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 386.29 = 259.54 : x
  2. Step 2: Convert to fraction form
    281.41/386.29 = 259.54/x
  3. Step 3: Cross multiply
    281.41x = 386.29 × 259.54
  4. Step 4: Simplify right side
    281.41x = 100,257.71
  5. Step 5: Solve for x
    x = 100,257.71/281.41
  6. Step 6: Final answer
    x = 356.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.