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Finding the Fourth Proportional to 217.33, 326.12 and 101.83

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Solution

The fourth proportional to 217.33, 326.12 and 101.83 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.33 : 326.12 = 101.83 : x
  2. Step 2: Convert to fraction form
    217.33/326.12 = 101.83/x
  3. Step 3: Cross multiply
    217.33x = 326.12 × 101.83
  4. Step 4: Simplify right side
    217.33x = 33,208.80
  5. Step 5: Solve for x
    x = 33,208.80/217.33
  6. Step 6: Final answer
    x = 152.80

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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.