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Finding the Fourth Proportional to 213.63, 294.82 and 120.39

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Solution

The fourth proportional to 213.63, 294.82 and 120.39 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 294.82 = 120.39 : x
  2. Step 2: Convert to fraction form
    213.63/294.82 = 120.39/x
  3. Step 3: Cross multiply
    213.63x = 294.82 × 120.39
  4. Step 4: Simplify right side
    213.63x = 35,493.38
  5. Step 5: Solve for x
    x = 35,493.38/213.63
  6. Step 6: Final answer
    x = 166.14

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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.