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Finding the Fourth Proportional to 205.39, 283.44 and 118.03

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Solution

The fourth proportional to 205.39, 283.44 and 118.03 is: 162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 283.44 = 118.03 : x
  2. Step 2: Convert to fraction form
    205.39/283.44 = 118.03/x
  3. Step 3: Cross multiply
    205.39x = 283.44 × 118.03
  4. Step 4: Simplify right side
    205.39x = 33,454.42
  5. Step 5: Solve for x
    x = 33,454.42/205.39
  6. Step 6: Final answer
    x = 162.88

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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.