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Finding the Fourth Proportional to 84.35, 116.93 and 79.96

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Solution

The fourth proportional to 84.35, 116.93 and 79.96 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.35 : 116.93 = 79.96 : x
  2. Step 2: Convert to fraction form
    84.35/116.93 = 79.96/x
  3. Step 3: Cross multiply
    84.35x = 116.93 × 79.96
  4. Step 4: Simplify right side
    84.35x = 9,349.72
  5. Step 5: Solve for x
    x = 9,349.72/84.35
  6. Step 6: Final answer
    x = 110.84

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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.