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Finding the Fourth Proportional to 118.23, 163.15 and 109.55

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Solution

The fourth proportional to 118.23, 163.15 and 109.55 is: 151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 163.15 = 109.55 : x
  2. Step 2: Convert to fraction form
    118.23/163.15 = 109.55/x
  3. Step 3: Cross multiply
    118.23x = 163.15 × 109.55
  4. Step 4: Simplify right side
    118.23x = 17,873.22
  5. Step 5: Solve for x
    x = 17,873.22/118.23
  6. Step 6: Final answer
    x = 151.18

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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.