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Finding the Fourth Proportional to 281.24, 388.09 and 164.80

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Solution

The fourth proportional to 281.24, 388.09 and 164.80 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 388.09 = 164.80 : x
  2. Step 2: Convert to fraction form
    281.24/388.09 = 164.80/x
  3. Step 3: Cross multiply
    281.24x = 388.09 × 164.80
  4. Step 4: Simplify right side
    281.24x = 63,957.23
  5. Step 5: Solve for x
    x = 63,957.23/281.24
  6. Step 6: Final answer
    x = 227.41

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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.