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Finding the Fourth Proportional to 216.81, 323.66 and 180.36

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Solution

The fourth proportional to 216.81, 323.66 and 180.36 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 323.66 = 180.36 : x
  2. Step 2: Convert to fraction form
    216.81/323.66 = 180.36/x
  3. Step 3: Cross multiply
    216.81x = 323.66 × 180.36
  4. Step 4: Simplify right side
    216.81x = 58,375.77
  5. Step 5: Solve for x
    x = 58,375.77/216.81
  6. Step 6: Final answer
    x = 269.25

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Why These Related Problems?

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