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Finding the Fourth Proportional to 220.12, 302.13 and 196.29

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Solution

The fourth proportional to 220.12, 302.13 and 196.29 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.12 : 302.13 = 196.29 : x
  2. Step 2: Convert to fraction form
    220.12/302.13 = 196.29/x
  3. Step 3: Cross multiply
    220.12x = 302.13 × 196.29
  4. Step 4: Simplify right side
    220.12x = 59,305.10
  5. Step 5: Solve for x
    x = 59,305.10/220.12
  6. Step 6: Final answer
    x = 269.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.