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Finding the Fourth Proportional to 218.34, 301.05 and 169.34

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Solution

The fourth proportional to 218.34, 301.05 and 169.34 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 301.05 = 169.34 : x
  2. Step 2: Convert to fraction form
    218.34/301.05 = 169.34/x
  3. Step 3: Cross multiply
    218.34x = 301.05 × 169.34
  4. Step 4: Simplify right side
    218.34x = 50,978.30
  5. Step 5: Solve for x
    x = 50,978.30/218.34
  6. Step 6: Final answer
    x = 233.48

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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.