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Finding the Fourth Proportional to 94.35, 142.21 and 92.28

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Solution

The fourth proportional to 94.35, 142.21 and 92.28 is: 139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.35 : 142.21 = 92.28 : x
  2. Step 2: Convert to fraction form
    94.35/142.21 = 92.28/x
  3. Step 3: Cross multiply
    94.35x = 142.21 × 92.28
  4. Step 4: Simplify right side
    94.35x = 13,123.14
  5. Step 5: Solve for x
    x = 13,123.14/94.35
  6. Step 6: Final answer
    x = 139.09

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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.