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Finding the Fourth Proportional to 452.36, 676.91 and 278.88

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Solution

The fourth proportional to 452.36, 676.91 and 278.88 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.36 : 676.91 = 278.88 : x
  2. Step 2: Convert to fraction form
    452.36/676.91 = 278.88/x
  3. Step 3: Cross multiply
    452.36x = 676.91 × 278.88
  4. Step 4: Simplify right side
    452.36x = 188,777.36
  5. Step 5: Solve for x
    x = 188,777.36/452.36
  6. Step 6: Final answer
    x = 417.32

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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.