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Finding the Fourth Proportional to 79.38, 109.74 and 75.98

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Solution

The fourth proportional to 79.38, 109.74 and 75.98 is: 105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.38 : 109.74 = 75.98 : x
  2. Step 2: Convert to fraction form
    79.38/109.74 = 75.98/x
  3. Step 3: Cross multiply
    79.38x = 109.74 × 75.98
  4. Step 4: Simplify right side
    79.38x = 8,338.05
  5. Step 5: Solve for x
    x = 8,338.05/79.38
  6. Step 6: Final answer
    x = 105.04

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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.