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Finding the Fourth Proportional to 218.14, 301.05 and 159.94

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Solution

The fourth proportional to 218.14, 301.05 and 159.94 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 301.05 = 159.94 : x
  2. Step 2: Convert to fraction form
    218.14/301.05 = 159.94/x
  3. Step 3: Cross multiply
    218.14x = 301.05 × 159.94
  4. Step 4: Simplify right side
    218.14x = 48,149.94
  5. Step 5: Solve for x
    x = 48,149.94/218.14
  6. Step 6: Final answer
    x = 220.73

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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.