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Finding the Fourth Proportional to 94.27, 129.84 and 77.93

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Solution

The fourth proportional to 94.27, 129.84 and 77.93 is: 107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.27 : 129.84 = 77.93 : x
  2. Step 2: Convert to fraction form
    94.27/129.84 = 77.93/x
  3. Step 3: Cross multiply
    94.27x = 129.84 × 77.93
  4. Step 4: Simplify right side
    94.27x = 10,118.43
  5. Step 5: Solve for x
    x = 10,118.43/94.27
  6. Step 6: Final answer
    x = 107.34

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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.