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Finding the Fourth Proportional to 204.58, 282.49 and 173.59

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Solution

The fourth proportional to 204.58, 282.49 and 173.59 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.58 : 282.49 = 173.59 : x
  2. Step 2: Convert to fraction form
    204.58/282.49 = 173.59/x
  3. Step 3: Cross multiply
    204.58x = 282.49 × 173.59
  4. Step 4: Simplify right side
    204.58x = 49,037.89
  5. Step 5: Solve for x
    x = 49,037.89/204.58
  6. Step 6: Final answer
    x = 239.71

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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.