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Finding the Fourth Proportional to 216.52, 324.68 and 86.50

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Solution

The fourth proportional to 216.52, 324.68 and 86.50 is: 129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 324.68 = 86.50 : x
  2. Step 2: Convert to fraction form
    216.52/324.68 = 86.50/x
  3. Step 3: Cross multiply
    216.52x = 324.68 × 86.50
  4. Step 4: Simplify right side
    216.52x = 28,084.82
  5. Step 5: Solve for x
    x = 28,084.82/216.52
  6. Step 6: Final answer
    x = 129.71

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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.