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Finding the Fourth Proportional to 452.29, 676.86 and 278.91

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Solution

The fourth proportional to 452.29, 676.86 and 278.91 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.29 : 676.86 = 278.91 : x
  2. Step 2: Convert to fraction form
    452.29/676.86 = 278.91/x
  3. Step 3: Cross multiply
    452.29x = 676.86 × 278.91
  4. Step 4: Simplify right side
    452.29x = 188,783.02
  5. Step 5: Solve for x
    x = 188,783.02/452.29
  6. Step 6: Final answer
    x = 417.39

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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.