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Finding the Fourth Proportional to 94.35, 129.60 and 77.97

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Solution

The fourth proportional to 94.35, 129.60 and 77.97 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.35 : 129.60 = 77.97 : x
  2. Step 2: Convert to fraction form
    94.35/129.60 = 77.97/x
  3. Step 3: Cross multiply
    94.35x = 129.60 × 77.97
  4. Step 4: Simplify right side
    94.35x = 10,104.91
  5. Step 5: Solve for x
    x = 10,104.91/94.35
  6. Step 6: Final answer
    x = 107.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.