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Finding the Fourth Proportional to 218.33, 326.77 and 155.66

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Solution

The fourth proportional to 218.33, 326.77 and 155.66 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.33 : 326.77 = 155.66 : x
  2. Step 2: Convert to fraction form
    218.33/326.77 = 155.66/x
  3. Step 3: Cross multiply
    218.33x = 326.77 × 155.66
  4. Step 4: Simplify right side
    218.33x = 50,863.00
  5. Step 5: Solve for x
    x = 50,863.00/218.33
  6. Step 6: Final answer
    x = 232.97

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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.