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Finding the Fourth Proportional to 204.94, 282.70 and 135.12

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Solution

The fourth proportional to 204.94, 282.70 and 135.12 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.94 : 282.70 = 135.12 : x
  2. Step 2: Convert to fraction form
    204.94/282.70 = 135.12/x
  3. Step 3: Cross multiply
    204.94x = 282.70 × 135.12
  4. Step 4: Simplify right side
    204.94x = 38,198.42
  5. Step 5: Solve for x
    x = 38,198.42/204.94
  6. Step 6: Final answer
    x = 186.39

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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.