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Finding the Fourth Proportional to 94.42, 140.81 and 82.30

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Solution

The fourth proportional to 94.42, 140.81 and 82.30 is: 122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 140.81 = 82.30 : x
  2. Step 2: Convert to fraction form
    94.42/140.81 = 82.30/x
  3. Step 3: Cross multiply
    94.42x = 140.81 × 82.30
  4. Step 4: Simplify right side
    94.42x = 11,588.66
  5. Step 5: Solve for x
    x = 11,588.66/94.42
  6. Step 6: Final answer
    x = 122.74

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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.