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Finding the Fourth Proportional to 204.54, 305.30 and 180.24

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Solution

The fourth proportional to 204.54, 305.30 and 180.24 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.54 : 305.30 = 180.24 : x
  2. Step 2: Convert to fraction form
    204.54/305.30 = 180.24/x
  3. Step 3: Cross multiply
    204.54x = 305.30 × 180.24
  4. Step 4: Simplify right side
    204.54x = 55,026.37
  5. Step 5: Solve for x
    x = 55,026.37/204.54
  6. Step 6: Final answer
    x = 269.02

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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.