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Finding the Fourth Proportional to 281.99, 422.34 and 166.21

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Solution

The fourth proportional to 281.99, 422.34 and 166.21 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.99 : 422.34 = 166.21 : x
  2. Step 2: Convert to fraction form
    281.99/422.34 = 166.21/x
  3. Step 3: Cross multiply
    281.99x = 422.34 × 166.21
  4. Step 4: Simplify right side
    281.99x = 70,195.45
  5. Step 5: Solve for x
    x = 70,195.45/281.99
  6. Step 6: Final answer
    x = 248.93

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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.