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Finding the Fourth Proportional to 301.38, 453.72 and 220.80

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Solution

The fourth proportional to 301.38, 453.72 and 220.80 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 453.72 = 220.80 : x
  2. Step 2: Convert to fraction form
    301.38/453.72 = 220.80/x
  3. Step 3: Cross multiply
    301.38x = 453.72 × 220.80
  4. Step 4: Simplify right side
    301.38x = 100,181.38
  5. Step 5: Solve for x
    x = 100,181.38/301.38
  6. Step 6: Final answer
    x = 332.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.