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Finding the Fourth Proportional to 93.51, 128.36 and 82.92

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Solution

The fourth proportional to 93.51, 128.36 and 82.92 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.51 : 128.36 = 82.92 : x
  2. Step 2: Convert to fraction form
    93.51/128.36 = 82.92/x
  3. Step 3: Cross multiply
    93.51x = 128.36 × 82.92
  4. Step 4: Simplify right side
    93.51x = 10,643.61
  5. Step 5: Solve for x
    x = 10,643.61/93.51
  6. Step 6: Final answer
    x = 113.82

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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.