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Finding the Fourth Proportional to 216.85, 325.91 and 180.52

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Solution

The fourth proportional to 216.85, 325.91 and 180.52 is: 271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.85 : 325.91 = 180.52 : x
  2. Step 2: Convert to fraction form
    216.85/325.91 = 180.52/x
  3. Step 3: Cross multiply
    216.85x = 325.91 × 180.52
  4. Step 4: Simplify right side
    216.85x = 58,833.27
  5. Step 5: Solve for x
    x = 58,833.27/216.85
  6. Step 6: Final answer
    x = 271.31

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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.