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Finding the Fourth Proportional to 205.06, 283.05 and 163.60

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Solution

The fourth proportional to 205.06, 283.05 and 163.60 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 283.05 = 163.60 : x
  2. Step 2: Convert to fraction form
    205.06/283.05 = 163.60/x
  3. Step 3: Cross multiply
    205.06x = 283.05 × 163.60
  4. Step 4: Simplify right side
    205.06x = 46,306.16
  5. Step 5: Solve for x
    x = 46,306.16/205.06
  6. Step 6: Final answer
    x = 225.82

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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.