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Finding the Fourth Proportional to 281.63, 388.73 and 165.17

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Solution

The fourth proportional to 281.63, 388.73 and 165.17 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 388.73 = 165.17 : x
  2. Step 2: Convert to fraction form
    281.63/388.73 = 165.17/x
  3. Step 3: Cross multiply
    281.63x = 388.73 × 165.17
  4. Step 4: Simplify right side
    281.63x = 64,205.00
  5. Step 5: Solve for x
    x = 64,205.00/281.63
  6. Step 6: Final answer
    x = 227.98

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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.