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Finding the Fourth Proportional to 164.05, 226.37 and 93.15

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Solution

The fourth proportional to 164.05, 226.37 and 93.15 is: 128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 226.37 = 93.15 : x
  2. Step 2: Convert to fraction form
    164.05/226.37 = 93.15/x
  3. Step 3: Cross multiply
    164.05x = 226.37 × 93.15
  4. Step 4: Simplify right side
    164.05x = 21,086.07
  5. Step 5: Solve for x
    x = 21,086.07/164.05
  6. Step 6: Final answer
    x = 128.53

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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.