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Finding the Fourth Proportional to 79.83, 120.20 and 76.59

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Solution

The fourth proportional to 79.83, 120.20 and 76.59 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.83 : 120.20 = 76.59 : x
  2. Step 2: Convert to fraction form
    79.83/120.20 = 76.59/x
  3. Step 3: Cross multiply
    79.83x = 120.20 × 76.59
  4. Step 4: Simplify right side
    79.83x = 9,205.74
  5. Step 5: Solve for x
    x = 9,205.74/79.83
  6. Step 6: Final answer
    x = 115.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.