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Finding the Fourth Proportional to 118.27, 161.81 and 117.75

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Solution

The fourth proportional to 118.27, 161.81 and 117.75 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.27 : 161.81 = 117.75 : x
  2. Step 2: Convert to fraction form
    118.27/161.81 = 117.75/x
  3. Step 3: Cross multiply
    118.27x = 161.81 × 117.75
  4. Step 4: Simplify right side
    118.27x = 19,053.15
  5. Step 5: Solve for x
    x = 19,053.15/118.27
  6. Step 6: Final answer
    x = 161.10

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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.