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Finding the Fourth Proportional to 218.22, 300.40 and 169.08

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Solution

The fourth proportional to 218.22, 300.40 and 169.08 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 300.40 = 169.08 : x
  2. Step 2: Convert to fraction form
    218.22/300.40 = 169.08/x
  3. Step 3: Cross multiply
    218.22x = 300.40 × 169.08
  4. Step 4: Simplify right side
    218.22x = 50,791.63
  5. Step 5: Solve for x
    x = 50,791.63/218.22
  6. Step 6: Final answer
    x = 232.75

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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.