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Finding the Fourth Proportional to 164.38, 227.34 and 157.15

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Solution

The fourth proportional to 164.38, 227.34 and 157.15 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.38 : 227.34 = 157.15 : x
  2. Step 2: Convert to fraction form
    164.38/227.34 = 157.15/x
  3. Step 3: Cross multiply
    164.38x = 227.34 × 157.15
  4. Step 4: Simplify right side
    164.38x = 35,726.48
  5. Step 5: Solve for x
    x = 35,726.48/164.38
  6. Step 6: Final answer
    x = 217.34

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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.