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Finding the Fourth Proportional to 281.46, 388.33 and 163.42

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Solution

The fourth proportional to 281.46, 388.33 and 163.42 is: 225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 388.33 = 163.42 : x
  2. Step 2: Convert to fraction form
    281.46/388.33 = 163.42/x
  3. Step 3: Cross multiply
    281.46x = 388.33 × 163.42
  4. Step 4: Simplify right side
    281.46x = 63,459.51
  5. Step 5: Solve for x
    x = 63,459.51/281.46
  6. Step 6: Final answer
    x = 225.46

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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.