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Finding the Fourth Proportional to 281.78, 422.62 and 166.25

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Solution

The fourth proportional to 281.78, 422.62 and 166.25 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 422.62 = 166.25 : x
  2. Step 2: Convert to fraction form
    281.78/422.62 = 166.25/x
  3. Step 3: Cross multiply
    281.78x = 422.62 × 166.25
  4. Step 4: Simplify right side
    281.78x = 70,261.22
  5. Step 5: Solve for x
    x = 70,261.22/281.78
  6. Step 6: Final answer
    x = 249.35

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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.