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Finding the Fourth Proportional to 451.89, 677.76 and 177.96

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Solution

The fourth proportional to 451.89, 677.76 and 177.96 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.89 : 677.76 = 177.96 : x
  2. Step 2: Convert to fraction form
    451.89/677.76 = 177.96/x
  3. Step 3: Cross multiply
    451.89x = 677.76 × 177.96
  4. Step 4: Simplify right side
    451.89x = 120,614.17
  5. Step 5: Solve for x
    x = 120,614.17/451.89
  6. Step 6: Final answer
    x = 266.91

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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.