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Finding the Fourth Proportional to 217.40, 326.11 and 89.06

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Solution

The fourth proportional to 217.40, 326.11 and 89.06 is: 133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 326.11 = 89.06 : x
  2. Step 2: Convert to fraction form
    217.40/326.11 = 89.06/x
  3. Step 3: Cross multiply
    217.40x = 326.11 × 89.06
  4. Step 4: Simplify right side
    217.40x = 29,043.95
  5. Step 5: Solve for x
    x = 29,043.95/217.40
  6. Step 6: Final answer
    x = 133.60

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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.