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Finding the Fourth Proportional to 178.76, 246.84 and 120.80

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Solution

The fourth proportional to 178.76, 246.84 and 120.80 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 246.84 = 120.80 : x
  2. Step 2: Convert to fraction form
    178.76/246.84 = 120.80/x
  3. Step 3: Cross multiply
    178.76x = 246.84 × 120.80
  4. Step 4: Simplify right side
    178.76x = 29,818.27
  5. Step 5: Solve for x
    x = 29,818.27/178.76
  6. Step 6: Final answer
    x = 166.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.