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Finding the Fourth Proportional to 216.55, 324.79 and 72.25

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Solution

The fourth proportional to 216.55, 324.79 and 72.25 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.55 : 324.79 = 72.25 : x
  2. Step 2: Convert to fraction form
    216.55/324.79 = 72.25/x
  3. Step 3: Cross multiply
    216.55x = 324.79 × 72.25
  4. Step 4: Simplify right side
    216.55x = 23,466.08
  5. Step 5: Solve for x
    x = 23,466.08/216.55
  6. Step 6: Final answer
    x = 108.36

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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.