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Finding the Fourth Proportional to 164.92, 227.82 and 115.78

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Solution

The fourth proportional to 164.92, 227.82 and 115.78 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.92 : 227.82 = 115.78 : x
  2. Step 2: Convert to fraction form
    164.92/227.82 = 115.78/x
  3. Step 3: Cross multiply
    164.92x = 227.82 × 115.78
  4. Step 4: Simplify right side
    164.92x = 26,377.00
  5. Step 5: Solve for x
    x = 26,377.00/164.92
  6. Step 6: Final answer
    x = 159.94

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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.