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Finding the Fourth Proportional to 92.97, 140.28 and 89.23

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Solution

The fourth proportional to 92.97, 140.28 and 89.23 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.97 : 140.28 = 89.23 : x
  2. Step 2: Convert to fraction form
    92.97/140.28 = 89.23/x
  3. Step 3: Cross multiply
    92.97x = 140.28 × 89.23
  4. Step 4: Simplify right side
    92.97x = 12,517.17
  5. Step 5: Solve for x
    x = 12,517.17/92.97
  6. Step 6: Final answer
    x = 134.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.