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Finding the Fourth Proportional to 93.22, 128.72 and 82.87

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Solution

The fourth proportional to 93.22, 128.72 and 82.87 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.22 : 128.72 = 82.87 : x
  2. Step 2: Convert to fraction form
    93.22/128.72 = 82.87/x
  3. Step 3: Cross multiply
    93.22x = 128.72 × 82.87
  4. Step 4: Simplify right side
    93.22x = 10,667.03
  5. Step 5: Solve for x
    x = 10,667.03/93.22
  6. Step 6: Final answer
    x = 114.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.