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Finding the Fourth Proportional to 216.81, 323.62 and 180.18

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Solution

The fourth proportional to 216.81, 323.62 and 180.18 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 323.62 = 180.18 : x
  2. Step 2: Convert to fraction form
    216.81/323.62 = 180.18/x
  3. Step 3: Cross multiply
    216.81x = 323.62 × 180.18
  4. Step 4: Simplify right side
    216.81x = 58,309.40
  5. Step 5: Solve for x
    x = 58,309.40/216.81
  6. Step 6: Final answer
    x = 268.94

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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.