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Finding the Fourth Proportional to 170.31, 234.91 and 101.27

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Solution

The fourth proportional to 170.31, 234.91 and 101.27 is: 139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.31 : 234.91 = 101.27 : x
  2. Step 2: Convert to fraction form
    170.31/234.91 = 101.27/x
  3. Step 3: Cross multiply
    170.31x = 234.91 × 101.27
  4. Step 4: Simplify right side
    170.31x = 23,789.34
  5. Step 5: Solve for x
    x = 23,789.34/170.31
  6. Step 6: Final answer
    x = 139.68

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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.