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Finding the Fourth Proportional to 164.76, 226.25 and 158.69

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Solution

The fourth proportional to 164.76, 226.25 and 158.69 is: 217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 226.25 = 158.69 : x
  2. Step 2: Convert to fraction form
    164.76/226.25 = 158.69/x
  3. Step 3: Cross multiply
    164.76x = 226.25 × 158.69
  4. Step 4: Simplify right side
    164.76x = 35,902.82
  5. Step 5: Solve for x
    x = 35,902.82/164.76
  6. Step 6: Final answer
    x = 217.91

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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.