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Finding the Fourth Proportional to 92.27, 126.60 and 89.97

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Solution

The fourth proportional to 92.27, 126.60 and 89.97 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.27 : 126.60 = 89.97 : x
  2. Step 2: Convert to fraction form
    92.27/126.60 = 89.97/x
  3. Step 3: Cross multiply
    92.27x = 126.60 × 89.97
  4. Step 4: Simplify right side
    92.27x = 11,390.20
  5. Step 5: Solve for x
    x = 11,390.20/92.27
  6. Step 6: Final answer
    x = 123.45

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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.