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Finding the Fourth Proportional to 204.06, 282.76 and 199.74

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Solution

The fourth proportional to 204.06, 282.76 and 199.74 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 282.76 = 199.74 : x
  2. Step 2: Convert to fraction form
    204.06/282.76 = 199.74/x
  3. Step 3: Cross multiply
    204.06x = 282.76 × 199.74
  4. Step 4: Simplify right side
    204.06x = 56,478.48
  5. Step 5: Solve for x
    x = 56,478.48/204.06
  6. Step 6: Final answer
    x = 276.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.