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Finding the Fourth Proportional to 220.28, 302.33 and 201.80

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Solution

The fourth proportional to 220.28, 302.33 and 201.80 is: 276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.28 : 302.33 = 201.80 : x
  2. Step 2: Convert to fraction form
    220.28/302.33 = 201.80/x
  3. Step 3: Cross multiply
    220.28x = 302.33 × 201.80
  4. Step 4: Simplify right side
    220.28x = 61,011.45
  5. Step 5: Solve for x
    x = 61,011.45/220.28
  6. Step 6: Final answer
    x = 276.98

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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.