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Finding the Fourth Proportional to 281.31, 388.21 and 156.97

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Solution

The fourth proportional to 281.31, 388.21 and 156.97 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.31 : 388.21 = 156.97 : x
  2. Step 2: Convert to fraction form
    281.31/388.21 = 156.97/x
  3. Step 3: Cross multiply
    281.31x = 388.21 × 156.97
  4. Step 4: Simplify right side
    281.31x = 60,937.32
  5. Step 5: Solve for x
    x = 60,937.32/281.31
  6. Step 6: Final answer
    x = 216.62

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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.