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Finding the Fourth Proportional to 281.27, 388.11 and 156.92

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Solution

The fourth proportional to 281.27, 388.11 and 156.92 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.27 : 388.11 = 156.92 : x
  2. Step 2: Convert to fraction form
    281.27/388.11 = 156.92/x
  3. Step 3: Cross multiply
    281.27x = 388.11 × 156.92
  4. Step 4: Simplify right side
    281.27x = 60,902.22
  5. Step 5: Solve for x
    x = 60,902.22/281.27
  6. Step 6: Final answer
    x = 216.53

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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.