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Finding the Fourth Proportional to 281.62, 388.56 and 163.54

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Solution

The fourth proportional to 281.62, 388.56 and 163.54 is: 225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.62 : 388.56 = 163.54 : x
  2. Step 2: Convert to fraction form
    281.62/388.56 = 163.54/x
  3. Step 3: Cross multiply
    281.62x = 388.56 × 163.54
  4. Step 4: Simplify right side
    281.62x = 63,545.10
  5. Step 5: Solve for x
    x = 63,545.10/281.62
  6. Step 6: Final answer
    x = 225.64

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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.