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Finding the Fourth Proportional to 79.60, 110.43 and 78.84

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Solution

The fourth proportional to 79.60, 110.43 and 78.84 is: 109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.60 : 110.43 = 78.84 : x
  2. Step 2: Convert to fraction form
    79.60/110.43 = 78.84/x
  3. Step 3: Cross multiply
    79.60x = 110.43 × 78.84
  4. Step 4: Simplify right side
    79.60x = 8,705.50
  5. Step 5: Solve for x
    x = 8,705.50/79.60
  6. Step 6: Final answer
    x = 109.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.