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Finding the Fourth Proportional to 218.35, 301.18 and 169.35

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Solution

The fourth proportional to 218.35, 301.18 and 169.35 is: 233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.35 : 301.18 = 169.35 : x
  2. Step 2: Convert to fraction form
    218.35/301.18 = 169.35/x
  3. Step 3: Cross multiply
    218.35x = 301.18 × 169.35
  4. Step 4: Simplify right side
    218.35x = 51,004.83
  5. Step 5: Solve for x
    x = 51,004.83/218.35
  6. Step 6: Final answer
    x = 233.59

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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.