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Finding the Fourth Proportional to 204.94, 282.93 and 142.96

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Solution

The fourth proportional to 204.94, 282.93 and 142.96 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.94 : 282.93 = 142.96 : x
  2. Step 2: Convert to fraction form
    204.94/282.93 = 142.96/x
  3. Step 3: Cross multiply
    204.94x = 282.93 × 142.96
  4. Step 4: Simplify right side
    204.94x = 40,447.67
  5. Step 5: Solve for x
    x = 40,447.67/204.94
  6. Step 6: Final answer
    x = 197.36

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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.