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Finding the Fourth Proportional to 118.53, 164.43 and 114.48

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Solution

The fourth proportional to 118.53, 164.43 and 114.48 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.53 : 164.43 = 114.48 : x
  2. Step 2: Convert to fraction form
    118.53/164.43 = 114.48/x
  3. Step 3: Cross multiply
    118.53x = 164.43 × 114.48
  4. Step 4: Simplify right side
    118.53x = 18,823.95
  5. Step 5: Solve for x
    x = 18,823.95/118.53
  6. Step 6: Final answer
    x = 158.81

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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.