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Finding the Fourth Proportional to 92.26, 126.61 and 88.84

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Solution

The fourth proportional to 92.26, 126.61 and 88.84 is: 121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 126.61 = 88.84 : x
  2. Step 2: Convert to fraction form
    92.26/126.61 = 88.84/x
  3. Step 3: Cross multiply
    92.26x = 126.61 × 88.84
  4. Step 4: Simplify right side
    92.26x = 11,248.03
  5. Step 5: Solve for x
    x = 11,248.03/92.26
  6. Step 6: Final answer
    x = 121.92

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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.