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Finding the Fourth Proportional to 443.28, 664.24 and 278.72

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Solution

The fourth proportional to 443.28, 664.24 and 278.72 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.28 : 664.24 = 278.72 : x
  2. Step 2: Convert to fraction form
    443.28/664.24 = 278.72/x
  3. Step 3: Cross multiply
    443.28x = 664.24 × 278.72
  4. Step 4: Simplify right side
    443.28x = 185,136.97
  5. Step 5: Solve for x
    x = 185,136.97/443.28
  6. Step 6: Final answer
    x = 417.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.