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Finding the Fourth Proportional to 95.69, 142.31 and 92.66

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Solution

The fourth proportional to 95.69, 142.31 and 92.66 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.69 : 142.31 = 92.66 : x
  2. Step 2: Convert to fraction form
    95.69/142.31 = 92.66/x
  3. Step 3: Cross multiply
    95.69x = 142.31 × 92.66
  4. Step 4: Simplify right side
    95.69x = 13,185.62
  5. Step 5: Solve for x
    x = 13,185.62/95.69
  6. Step 6: Final answer
    x = 137.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.