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Finding the Fourth Proportional to 93.40, 128.22 and 81.10

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Solution

The fourth proportional to 93.40, 128.22 and 81.10 is: 111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.40 : 128.22 = 81.10 : x
  2. Step 2: Convert to fraction form
    93.40/128.22 = 81.10/x
  3. Step 3: Cross multiply
    93.40x = 128.22 × 81.10
  4. Step 4: Simplify right side
    93.40x = 10,398.64
  5. Step 5: Solve for x
    x = 10,398.64/93.40
  6. Step 6: Final answer
    x = 111.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.