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Finding the Fourth Proportional to 119.20, 163.07 and 118.66

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Solution

The fourth proportional to 119.20, 163.07 and 118.66 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 163.07 = 118.66 : x
  2. Step 2: Convert to fraction form
    119.20/163.07 = 118.66/x
  3. Step 3: Cross multiply
    119.20x = 163.07 × 118.66
  4. Step 4: Simplify right side
    119.20x = 19,349.29
  5. Step 5: Solve for x
    x = 19,349.29/119.20
  6. Step 6: Final answer
    x = 162.33

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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.