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Finding the Fourth Proportional to 170.33, 234.86 and 108.16

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Solution

The fourth proportional to 170.33, 234.86 and 108.16 is: 149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.33 : 234.86 = 108.16 : x
  2. Step 2: Convert to fraction form
    170.33/234.86 = 108.16/x
  3. Step 3: Cross multiply
    170.33x = 234.86 × 108.16
  4. Step 4: Simplify right side
    170.33x = 25,401.33
  5. Step 5: Solve for x
    x = 25,401.33/170.33
  6. Step 6: Final answer
    x = 149.13

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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.