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Finding the Fourth Proportional to 217.63, 326.40 and 95.86

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Solution

The fourth proportional to 217.63, 326.40 and 95.86 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 326.40 = 95.86 : x
  2. Step 2: Convert to fraction form
    217.63/326.40 = 95.86/x
  3. Step 3: Cross multiply
    217.63x = 326.40 × 95.86
  4. Step 4: Simplify right side
    217.63x = 31,288.70
  5. Step 5: Solve for x
    x = 31,288.70/217.63
  6. Step 6: Final answer
    x = 143.77

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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.