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Finding the Fourth Proportional to 281.20, 388.08 and 164.80

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Solution

The fourth proportional to 281.20, 388.08 and 164.80 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.20 : 388.08 = 164.80 : x
  2. Step 2: Convert to fraction form
    281.20/388.08 = 164.80/x
  3. Step 3: Cross multiply
    281.20x = 388.08 × 164.80
  4. Step 4: Simplify right side
    281.20x = 63,955.58
  5. Step 5: Solve for x
    x = 63,955.58/281.20
  6. Step 6: Final answer
    x = 227.44

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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.