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Finding the Fourth Proportional to 451.51, 677.97 and 269.66

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Solution

The fourth proportional to 451.51, 677.97 and 269.66 is: 404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.51 : 677.97 = 269.66 : x
  2. Step 2: Convert to fraction form
    451.51/677.97 = 269.66/x
  3. Step 3: Cross multiply
    451.51x = 677.97 × 269.66
  4. Step 4: Simplify right side
    451.51x = 182,823.09
  5. Step 5: Solve for x
    x = 182,823.09/451.51
  6. Step 6: Final answer
    x = 404.92

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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.