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Finding the Fourth Proportional to 164.26, 226.71 and 101.23

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Solution

The fourth proportional to 164.26, 226.71 and 101.23 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.26 : 226.71 = 101.23 : x
  2. Step 2: Convert to fraction form
    164.26/226.71 = 101.23/x
  3. Step 3: Cross multiply
    164.26x = 226.71 × 101.23
  4. Step 4: Simplify right side
    164.26x = 22,949.29
  5. Step 5: Solve for x
    x = 22,949.29/164.26
  6. Step 6: Final answer
    x = 139.72

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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.