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Finding the Fourth Proportional to 92.44, 126.65 and 89.80

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Solution

The fourth proportional to 92.44, 126.65 and 89.80 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.44 : 126.65 = 89.80 : x
  2. Step 2: Convert to fraction form
    92.44/126.65 = 89.80/x
  3. Step 3: Cross multiply
    92.44x = 126.65 × 89.80
  4. Step 4: Simplify right side
    92.44x = 11,373.17
  5. Step 5: Solve for x
    x = 11,373.17/92.44
  6. Step 6: Final answer
    x = 123.03

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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.