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Finding the Fourth Proportional to 216.31, 324.45 and 72.02

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Solution

The fourth proportional to 216.31, 324.45 and 72.02 is: 108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 324.45 = 72.02 : x
  2. Step 2: Convert to fraction form
    216.31/324.45 = 72.02/x
  3. Step 3: Cross multiply
    216.31x = 324.45 × 72.02
  4. Step 4: Simplify right side
    216.31x = 23,366.89
  5. Step 5: Solve for x
    x = 23,366.89/216.31
  6. Step 6: Final answer
    x = 108.03

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