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Finding the Fourth Proportional to 204.58, 282.33 and 111.33

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Solution

The fourth proportional to 204.58, 282.33 and 111.33 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.58 : 282.33 = 111.33 : x
  2. Step 2: Convert to fraction form
    204.58/282.33 = 111.33/x
  3. Step 3: Cross multiply
    204.58x = 282.33 × 111.33
  4. Step 4: Simplify right side
    204.58x = 31,431.80
  5. Step 5: Solve for x
    x = 31,431.80/204.58
  6. Step 6: Final answer
    x = 153.64

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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.