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Finding the Fourth Proportional to 204.69, 305.52 and 180.39

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Solution

The fourth proportional to 204.69, 305.52 and 180.39 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.69 : 305.52 = 180.39 : x
  2. Step 2: Convert to fraction form
    204.69/305.52 = 180.39/x
  3. Step 3: Cross multiply
    204.69x = 305.52 × 180.39
  4. Step 4: Simplify right side
    204.69x = 55,112.75
  5. Step 5: Solve for x
    x = 55,112.75/204.69
  6. Step 6: Final answer
    x = 269.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.