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Finding the Fourth Proportional to 164.83, 227.48 and 94.90

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Solution

The fourth proportional to 164.83, 227.48 and 94.90 is: 130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.83 : 227.48 = 94.90 : x
  2. Step 2: Convert to fraction form
    164.83/227.48 = 94.90/x
  3. Step 3: Cross multiply
    164.83x = 227.48 × 94.90
  4. Step 4: Simplify right side
    164.83x = 21,587.85
  5. Step 5: Solve for x
    x = 21,587.85/164.83
  6. Step 6: Final answer
    x = 130.97

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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.