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Finding the Fourth Proportional to 216.12, 324.08 and 86.16

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Solution

The fourth proportional to 216.12, 324.08 and 86.16 is: 129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.12 : 324.08 = 86.16 : x
  2. Step 2: Convert to fraction form
    216.12/324.08 = 86.16/x
  3. Step 3: Cross multiply
    216.12x = 324.08 × 86.16
  4. Step 4: Simplify right side
    216.12x = 27,922.73
  5. Step 5: Solve for x
    x = 27,922.73/216.12
  6. Step 6: Final answer
    x = 129.20

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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.