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Finding the Fourth Proportional to 216.18, 323.46 and 129.56

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Solution

The fourth proportional to 216.18, 323.46 and 129.56 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.18 : 323.46 = 129.56 : x
  2. Step 2: Convert to fraction form
    216.18/323.46 = 129.56/x
  3. Step 3: Cross multiply
    216.18x = 323.46 × 129.56
  4. Step 4: Simplify right side
    216.18x = 41,905.86
  5. Step 5: Solve for x
    x = 41,905.86/216.18
  6. Step 6: Final answer
    x = 193.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.