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Finding the Fourth Proportional to 171.40, 235.86 and 164.12

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Solution

The fourth proportional to 171.40, 235.86 and 164.12 is: 225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.40 : 235.86 = 164.12 : x
  2. Step 2: Convert to fraction form
    171.40/235.86 = 164.12/x
  3. Step 3: Cross multiply
    171.40x = 235.86 × 164.12
  4. Step 4: Simplify right side
    171.40x = 38,709.34
  5. Step 5: Solve for x
    x = 38,709.34/171.40
  6. Step 6: Final answer
    x = 225.84

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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.