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Finding the Fourth Proportional to 146.15, 201.31 and 145.34

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Solution

The fourth proportional to 146.15, 201.31 and 145.34 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.15 : 201.31 = 145.34 : x
  2. Step 2: Convert to fraction form
    146.15/201.31 = 145.34/x
  3. Step 3: Cross multiply
    146.15x = 201.31 × 145.34
  4. Step 4: Simplify right side
    146.15x = 29,257.03
  5. Step 5: Solve for x
    x = 29,257.03/146.15
  6. Step 6: Final answer
    x = 200.19

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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.