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Finding the Fourth Proportional to 164.97, 248.33 and 126.66

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Solution

The fourth proportional to 164.97, 248.33 and 126.66 is: 190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 248.33 = 126.66 : x
  2. Step 2: Convert to fraction form
    164.97/248.33 = 126.66/x
  3. Step 3: Cross multiply
    164.97x = 248.33 × 126.66
  4. Step 4: Simplify right side
    164.97x = 31,454.73
  5. Step 5: Solve for x
    x = 31,454.73/164.97
  6. Step 6: Final answer
    x = 190.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.