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Finding the Fourth Proportional to 443.48, 664.56 and 278.55

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Solution

The fourth proportional to 443.48, 664.56 and 278.55 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 664.56 = 278.55 : x
  2. Step 2: Convert to fraction form
    443.48/664.56 = 278.55/x
  3. Step 3: Cross multiply
    443.48x = 664.56 × 278.55
  4. Step 4: Simplify right side
    443.48x = 185,113.19
  5. Step 5: Solve for x
    x = 185,113.19/443.48
  6. Step 6: Final answer
    x = 417.42

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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.