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Finding the Fourth Proportional to 120.05, 179.77 and 76.58

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Solution

The fourth proportional to 120.05, 179.77 and 76.58 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.05 : 179.77 = 76.58 : x
  2. Step 2: Convert to fraction form
    120.05/179.77 = 76.58/x
  3. Step 3: Cross multiply
    120.05x = 179.77 × 76.58
  4. Step 4: Simplify right side
    120.05x = 13,767.85
  5. Step 5: Solve for x
    x = 13,767.85/120.05
  6. Step 6: Final answer
    x = 114.69

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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.