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Finding the Fourth Proportional to 205.56, 283.65 and 118.23

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Solution

The fourth proportional to 205.56, 283.65 and 118.23 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 283.65 = 118.23 : x
  2. Step 2: Convert to fraction form
    205.56/283.65 = 118.23/x
  3. Step 3: Cross multiply
    205.56x = 283.65 × 118.23
  4. Step 4: Simplify right side
    205.56x = 33,535.94
  5. Step 5: Solve for x
    x = 33,535.94/205.56
  6. Step 6: Final answer
    x = 163.14

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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.