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Finding the Fourth Proportional to 216.96, 325.41 and 144.87

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Solution

The fourth proportional to 216.96, 325.41 and 144.87 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 325.41 = 144.87 : x
  2. Step 2: Convert to fraction form
    216.96/325.41 = 144.87/x
  3. Step 3: Cross multiply
    216.96x = 325.41 × 144.87
  4. Step 4: Simplify right side
    216.96x = 47,142.15
  5. Step 5: Solve for x
    x = 47,142.15/216.96
  6. Step 6: Final answer
    x = 217.28

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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.