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Finding the Fourth Proportional to 164.33, 227.81 and 160.99

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Solution

The fourth proportional to 164.33, 227.81 and 160.99 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 227.81 = 160.99 : x
  2. Step 2: Convert to fraction form
    164.33/227.81 = 160.99/x
  3. Step 3: Cross multiply
    164.33x = 227.81 × 160.99
  4. Step 4: Simplify right side
    164.33x = 36,674.96
  5. Step 5: Solve for x
    x = 36,674.96/164.33
  6. Step 6: Final answer
    x = 223.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.