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Finding the Fourth Proportional to 182.36, 273.12 and 128

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Solution

The fourth proportional to 182.36, 273.12 and 128 is: 191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 273.12 = 128 : x
  2. Step 2: Convert to fraction form
    182.36/273.12 = 128/x
  3. Step 3: Cross multiply
    182.36x = 273.12 × 128
  4. Step 4: Simplify right side
    182.36x = 34,959.36
  5. Step 5: Solve for x
    x = 34,959.36/182.36
  6. Step 6: Final answer
    x = 191.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.