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Finding the Fourth Proportional to 93.29, 128.35 and 82.17

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Solution

The fourth proportional to 93.29, 128.35 and 82.17 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.29 : 128.35 = 82.17 : x
  2. Step 2: Convert to fraction form
    93.29/128.35 = 82.17/x
  3. Step 3: Cross multiply
    93.29x = 128.35 × 82.17
  4. Step 4: Simplify right side
    93.29x = 10,546.63
  5. Step 5: Solve for x
    x = 10,546.63/93.29
  6. Step 6: Final answer
    x = 113.06

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Why These Related Problems?

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