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Finding the Fourth Proportional to 218.66, 301.77 and 140.09

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Solution

The fourth proportional to 218.66, 301.77 and 140.09 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.66 : 301.77 = 140.09 : x
  2. Step 2: Convert to fraction form
    218.66/301.77 = 140.09/x
  3. Step 3: Cross multiply
    218.66x = 301.77 × 140.09
  4. Step 4: Simplify right side
    218.66x = 42,273.45
  5. Step 5: Solve for x
    x = 42,273.45/218.66
  6. Step 6: Final answer
    x = 193.33

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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.