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Finding the Fourth Proportional to 220.04, 302.02 and 196.20

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Solution

The fourth proportional to 220.04, 302.02 and 196.20 is: 269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.04 : 302.02 = 196.20 : x
  2. Step 2: Convert to fraction form
    220.04/302.02 = 196.20/x
  3. Step 3: Cross multiply
    220.04x = 302.02 × 196.20
  4. Step 4: Simplify right side
    220.04x = 59,256.32
  5. Step 5: Solve for x
    x = 59,256.32/220.04
  6. Step 6: Final answer
    x = 269.30

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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.