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Finding the Fourth Proportional to 79.80, 120.00 and 73.11

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Solution

The fourth proportional to 79.80, 120.00 and 73.11 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.80 : 120.00 = 73.11 : x
  2. Step 2: Convert to fraction form
    79.80/120.00 = 73.11/x
  3. Step 3: Cross multiply
    79.80x = 120.00 × 73.11
  4. Step 4: Simplify right side
    79.80x = 8,773.92
  5. Step 5: Solve for x
    x = 8,773.92/79.80
  6. Step 6: Final answer
    x = 109.95

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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.