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Finding the Fourth Proportional to 118.04, 164.20 and 115.81

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Solution

The fourth proportional to 118.04, 164.20 and 115.81 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 164.20 = 115.81 : x
  2. Step 2: Convert to fraction form
    118.04/164.20 = 115.81/x
  3. Step 3: Cross multiply
    118.04x = 164.20 × 115.81
  4. Step 4: Simplify right side
    118.04x = 19,016.00
  5. Step 5: Solve for x
    x = 19,016.00/118.04
  6. Step 6: Final answer
    x = 161.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.