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Finding the Fourth Proportional to 94.23, 140.33 and 90.92

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Solution

The fourth proportional to 94.23, 140.33 and 90.92 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.23 : 140.33 = 90.92 : x
  2. Step 2: Convert to fraction form
    94.23/140.33 = 90.92/x
  3. Step 3: Cross multiply
    94.23x = 140.33 × 90.92
  4. Step 4: Simplify right side
    94.23x = 12,759.38
  5. Step 5: Solve for x
    x = 12,759.38/94.23
  6. Step 6: Final answer
    x = 135.41

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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.