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Finding the Fourth Proportional to 218.12, 301.06 and 129.61

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Solution

The fourth proportional to 218.12, 301.06 and 129.61 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.12 : 301.06 = 129.61 : x
  2. Step 2: Convert to fraction form
    218.12/301.06 = 129.61/x
  3. Step 3: Cross multiply
    218.12x = 301.06 × 129.61
  4. Step 4: Simplify right side
    218.12x = 39,020.39
  5. Step 5: Solve for x
    x = 39,020.39/218.12
  6. Step 6: Final answer
    x = 178.89

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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.