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Finding the Fourth Proportional to 170.16, 234.90 and 108.06

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Solution

The fourth proportional to 170.16, 234.90 and 108.06 is: 149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 234.90 = 108.06 : x
  2. Step 2: Convert to fraction form
    170.16/234.90 = 108.06/x
  3. Step 3: Cross multiply
    170.16x = 234.90 × 108.06
  4. Step 4: Simplify right side
    170.16x = 25,383.29
  5. Step 5: Solve for x
    x = 25,383.29/170.16
  6. Step 6: Final answer
    x = 149.17

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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.