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Finding the Fourth Proportional to 79.27, 118.82 and 51.82

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Solution

The fourth proportional to 79.27, 118.82 and 51.82 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.27 : 118.82 = 51.82 : x
  2. Step 2: Convert to fraction form
    79.27/118.82 = 51.82/x
  3. Step 3: Cross multiply
    79.27x = 118.82 × 51.82
  4. Step 4: Simplify right side
    79.27x = 6,156.66
  5. Step 5: Solve for x
    x = 6,156.66/79.27
  6. Step 6: Final answer
    x = 77.67

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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.