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Finding the Fourth Proportional to 301.23, 415.71 and 170.27

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Solution

The fourth proportional to 301.23, 415.71 and 170.27 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 415.71 = 170.27 : x
  2. Step 2: Convert to fraction form
    301.23/415.71 = 170.27/x
  3. Step 3: Cross multiply
    301.23x = 415.71 × 170.27
  4. Step 4: Simplify right side
    301.23x = 70,780.86
  5. Step 5: Solve for x
    x = 70,780.86/301.23
  6. Step 6: Final answer
    x = 234.97

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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.