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Finding the Fourth Proportional to 218.97, 302.18 and 120.73

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Solution

The fourth proportional to 218.97, 302.18 and 120.73 is: 166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 302.18 = 120.73 : x
  2. Step 2: Convert to fraction form
    218.97/302.18 = 120.73/x
  3. Step 3: Cross multiply
    218.97x = 302.18 × 120.73
  4. Step 4: Simplify right side
    218.97x = 36,482.08
  5. Step 5: Solve for x
    x = 36,482.08/218.97
  6. Step 6: Final answer
    x = 166.61

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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.