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Finding the Fourth Proportional to 218.67, 301.78 and 120.43

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Solution

The fourth proportional to 218.67, 301.78 and 120.43 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 301.78 = 120.43 : x
  2. Step 2: Convert to fraction form
    218.67/301.78 = 120.43/x
  3. Step 3: Cross multiply
    218.67x = 301.78 × 120.43
  4. Step 4: Simplify right side
    218.67x = 36,341.52
  5. Step 5: Solve for x
    x = 36,341.52/218.67
  6. Step 6: Final answer
    x = 166.19

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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.