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Finding the Fourth Proportional to 94.82, 130.07 and 92.42

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Solution

The fourth proportional to 94.82, 130.07 and 92.42 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.82 : 130.07 = 92.42 : x
  2. Step 2: Convert to fraction form
    94.82/130.07 = 92.42/x
  3. Step 3: Cross multiply
    94.82x = 130.07 × 92.42
  4. Step 4: Simplify right side
    94.82x = 12,019.96
  5. Step 5: Solve for x
    x = 12,019.96/94.82
  6. Step 6: Final answer
    x = 126.77

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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.