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Finding the Fourth Proportional to 170.00, 234.65 and 114.73

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Solution

The fourth proportional to 170.00, 234.65 and 114.73 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.00 : 234.65 = 114.73 : x
  2. Step 2: Convert to fraction form
    170.00/234.65 = 114.73/x
  3. Step 3: Cross multiply
    170.00x = 234.65 × 114.73
  4. Step 4: Simplify right side
    170.00x = 26,920.78
  5. Step 5: Solve for x
    x = 26,920.78/170.00
  6. Step 6: Final answer
    x = 158.36

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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.