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Finding the Fourth Proportional to 93.14, 140.42 and 84.43

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Solution

The fourth proportional to 93.14, 140.42 and 84.43 is: 127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.14 : 140.42 = 84.43 : x
  2. Step 2: Convert to fraction form
    93.14/140.42 = 84.43/x
  3. Step 3: Cross multiply
    93.14x = 140.42 × 84.43
  4. Step 4: Simplify right side
    93.14x = 11,855.66
  5. Step 5: Solve for x
    x = 11,855.66/93.14
  6. Step 6: Final answer
    x = 127.29

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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.