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Finding the Fourth Proportional to 204.63, 282.39 and 112.63

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Solution

The fourth proportional to 204.63, 282.39 and 112.63 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 282.39 = 112.63 : x
  2. Step 2: Convert to fraction form
    204.63/282.39 = 112.63/x
  3. Step 3: Cross multiply
    204.63x = 282.39 × 112.63
  4. Step 4: Simplify right side
    204.63x = 31,803.61
  5. Step 5: Solve for x
    x = 31,803.61/204.63
  6. Step 6: Final answer
    x = 155.42

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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.