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Finding the Fourth Proportional to 218.33, 326.81 and 172.77

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Solution

The fourth proportional to 218.33, 326.81 and 172.77 is: 258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.33 : 326.81 = 172.77 : x
  2. Step 2: Convert to fraction form
    218.33/326.81 = 172.77/x
  3. Step 3: Cross multiply
    218.33x = 326.81 × 172.77
  4. Step 4: Simplify right side
    218.33x = 56,462.96
  5. Step 5: Solve for x
    x = 56,462.96/218.33
  6. Step 6: Final answer
    x = 258.61

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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.