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Finding the Fourth Proportional to 451.70, 677.85 and 177.76

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Solution

The fourth proportional to 451.70, 677.85 and 177.76 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.70 : 677.85 = 177.76 : x
  2. Step 2: Convert to fraction form
    451.70/677.85 = 177.76/x
  3. Step 3: Cross multiply
    451.70x = 677.85 × 177.76
  4. Step 4: Simplify right side
    451.70x = 120,490.34
  5. Step 5: Solve for x
    x = 120,490.34/451.70
  6. Step 6: Final answer
    x = 266.75

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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.