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Finding the Fourth Proportional to 204.99, 284.19 and 194.60

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Solution

The fourth proportional to 204.99, 284.19 and 194.60 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.99 : 284.19 = 194.60 : x
  2. Step 2: Convert to fraction form
    204.99/284.19 = 194.60/x
  3. Step 3: Cross multiply
    204.99x = 284.19 × 194.60
  4. Step 4: Simplify right side
    204.99x = 55,303.37
  5. Step 5: Solve for x
    x = 55,303.37/204.99
  6. Step 6: Final answer
    x = 269.79

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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.