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Finding the Fourth Proportional to 119.06, 163.97 and 112.88

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Solution

The fourth proportional to 119.06, 163.97 and 112.88 is: 155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.06 : 163.97 = 112.88 : x
  2. Step 2: Convert to fraction form
    119.06/163.97 = 112.88/x
  3. Step 3: Cross multiply
    119.06x = 163.97 × 112.88
  4. Step 4: Simplify right side
    119.06x = 18,507.55
  5. Step 5: Solve for x
    x = 18,507.55/119.06
  6. Step 6: Final answer
    x = 155.45

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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.