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Finding the Fourth Proportional to 216.74, 325.20 and 94.97

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Solution

The fourth proportional to 216.74, 325.20 and 94.97 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 325.20 = 94.97 : x
  2. Step 2: Convert to fraction form
    216.74/325.20 = 94.97/x
  3. Step 3: Cross multiply
    216.74x = 325.20 × 94.97
  4. Step 4: Simplify right side
    216.74x = 30,884.24
  5. Step 5: Solve for x
    x = 30,884.24/216.74
  6. Step 6: Final answer
    x = 142.49

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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.