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Finding the Fourth Proportional to 164.97, 226.01 and 158.49

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Solution

The fourth proportional to 164.97, 226.01 and 158.49 is: 217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 226.01 = 158.49 : x
  2. Step 2: Convert to fraction form
    164.97/226.01 = 158.49/x
  3. Step 3: Cross multiply
    164.97x = 226.01 × 158.49
  4. Step 4: Simplify right side
    164.97x = 35,820.72
  5. Step 5: Solve for x
    x = 35,820.72/164.97
  6. Step 6: Final answer
    x = 217.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.