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Finding the Fourth Proportional to 146.31, 202.14 and 113.81

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Solution

The fourth proportional to 146.31, 202.14 and 113.81 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 202.14 = 113.81 : x
  2. Step 2: Convert to fraction form
    146.31/202.14 = 113.81/x
  3. Step 3: Cross multiply
    146.31x = 202.14 × 113.81
  4. Step 4: Simplify right side
    146.31x = 23,004.54
  5. Step 5: Solve for x
    x = 23,004.54/146.31
  6. Step 6: Final answer
    x = 157.23

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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.