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Finding the Fourth Proportional to 164.87, 227.23 and 121.13

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Solution

The fourth proportional to 164.87, 227.23 and 121.13 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.87 : 227.23 = 121.13 : x
  2. Step 2: Convert to fraction form
    164.87/227.23 = 121.13/x
  3. Step 3: Cross multiply
    164.87x = 227.23 × 121.13
  4. Step 4: Simplify right side
    164.87x = 27,522.93
  5. Step 5: Solve for x
    x = 27,522.93/164.87
  6. Step 6: Final answer
    x = 166.94

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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.