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Finding the Fourth Proportional to 218.21, 301.27 and 168.33

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Solution

The fourth proportional to 218.21, 301.27 and 168.33 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.21 : 301.27 = 168.33 : x
  2. Step 2: Convert to fraction form
    218.21/301.27 = 168.33/x
  3. Step 3: Cross multiply
    218.21x = 301.27 × 168.33
  4. Step 4: Simplify right side
    218.21x = 50,712.78
  5. Step 5: Solve for x
    x = 50,712.78/218.21
  6. Step 6: Final answer
    x = 232.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.