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Finding the Fourth Proportional to 170.28, 234.89 and 115.03

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Solution

The fourth proportional to 170.28, 234.89 and 115.03 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.28 : 234.89 = 115.03 : x
  2. Step 2: Convert to fraction form
    170.28/234.89 = 115.03/x
  3. Step 3: Cross multiply
    170.28x = 234.89 × 115.03
  4. Step 4: Simplify right side
    170.28x = 27,019.40
  5. Step 5: Solve for x
    x = 27,019.40/170.28
  6. Step 6: Final answer
    x = 158.68

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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.