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Finding the Fourth Proportional to 146.12, 201.48 and 118.56

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Solution

The fourth proportional to 146.12, 201.48 and 118.56 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.12 : 201.48 = 118.56 : x
  2. Step 2: Convert to fraction form
    146.12/201.48 = 118.56/x
  3. Step 3: Cross multiply
    146.12x = 201.48 × 118.56
  4. Step 4: Simplify right side
    146.12x = 23,887.47
  5. Step 5: Solve for x
    x = 23,887.47/146.12
  6. Step 6: Final answer
    x = 163.48

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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.