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Finding the Fourth Proportional to 119.23, 163.30 and 112.22

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Solution

The fourth proportional to 119.23, 163.30 and 112.22 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.23 : 163.30 = 112.22 : x
  2. Step 2: Convert to fraction form
    119.23/163.30 = 112.22/x
  3. Step 3: Cross multiply
    119.23x = 163.30 × 112.22
  4. Step 4: Simplify right side
    119.23x = 18,325.32
  5. Step 5: Solve for x
    x = 18,325.32/119.23
  6. Step 6: Final answer
    x = 153.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.