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Finding the Fourth Proportional to 281.56, 388.50 and 165.08

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Solution

The fourth proportional to 281.56, 388.50 and 165.08 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 388.50 = 165.08 : x
  2. Step 2: Convert to fraction form
    281.56/388.50 = 165.08/x
  3. Step 3: Cross multiply
    281.56x = 388.50 × 165.08
  4. Step 4: Simplify right side
    281.56x = 64,133.58
  5. Step 5: Solve for x
    x = 64,133.58/281.56
  6. Step 6: Final answer
    x = 227.78

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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.