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Finding the Fourth Proportional to 281.82, 388.83 and 169.77

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Solution

The fourth proportional to 281.82, 388.83 and 169.77 is: 234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.82 : 388.83 = 169.77 : x
  2. Step 2: Convert to fraction form
    281.82/388.83 = 169.77/x
  3. Step 3: Cross multiply
    281.82x = 388.83 × 169.77
  4. Step 4: Simplify right side
    281.82x = 66,011.67
  5. Step 5: Solve for x
    x = 66,011.67/281.82
  6. Step 6: Final answer
    x = 234.23

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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.