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Finding the Fourth Proportional to 204.93, 305.89 and 180.63

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Solution

The fourth proportional to 204.93, 305.89 and 180.63 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 305.89 = 180.63 : x
  2. Step 2: Convert to fraction form
    204.93/305.89 = 180.63/x
  3. Step 3: Cross multiply
    204.93x = 305.89 × 180.63
  4. Step 4: Simplify right side
    204.93x = 55,252.91
  5. Step 5: Solve for x
    x = 55,252.91/204.93
  6. Step 6: Final answer
    x = 269.62

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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.