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Finding the Fourth Proportional to 451.67, 678.41 and 269.42

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Solution

The fourth proportional to 451.67, 678.41 and 269.42 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.67 : 678.41 = 269.42 : x
  2. Step 2: Convert to fraction form
    451.67/678.41 = 269.42/x
  3. Step 3: Cross multiply
    451.67x = 678.41 × 269.42
  4. Step 4: Simplify right side
    451.67x = 182,772.48
  5. Step 5: Solve for x
    x = 182,772.48/451.67
  6. Step 6: Final answer
    x = 404.66

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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.