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Finding the Fourth Proportional to 94.24, 141.22 and 77.24

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Solution

The fourth proportional to 94.24, 141.22 and 77.24 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.24 : 141.22 = 77.24 : x
  2. Step 2: Convert to fraction form
    94.24/141.22 = 77.24/x
  3. Step 3: Cross multiply
    94.24x = 141.22 × 77.24
  4. Step 4: Simplify right side
    94.24x = 10,907.83
  5. Step 5: Solve for x
    x = 10,907.83/94.24
  6. Step 6: Final answer
    x = 115.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.