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Finding the Fourth Proportional to 118.18, 164.06 and 114.84

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Solution

The fourth proportional to 118.18, 164.06 and 114.84 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.18 : 164.06 = 114.84 : x
  2. Step 2: Convert to fraction form
    118.18/164.06 = 114.84/x
  3. Step 3: Cross multiply
    118.18x = 164.06 × 114.84
  4. Step 4: Simplify right side
    118.18x = 18,840.65
  5. Step 5: Solve for x
    x = 18,840.65/118.18
  6. Step 6: Final answer
    x = 159.42

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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.