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Finding the Fourth Proportional to 216.56, 324.60 and 120.20

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Solution

The fourth proportional to 216.56, 324.60 and 120.20 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 324.60 = 120.20 : x
  2. Step 2: Convert to fraction form
    216.56/324.60 = 120.20/x
  3. Step 3: Cross multiply
    216.56x = 324.60 × 120.20
  4. Step 4: Simplify right side
    216.56x = 39,016.92
  5. Step 5: Solve for x
    x = 39,016.92/216.56
  6. Step 6: Final answer
    x = 180.17

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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.