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Finding the Fourth Proportional to 146.58, 201.05 and 138.75

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Solution

The fourth proportional to 146.58, 201.05 and 138.75 is: 190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 201.05 = 138.75 : x
  2. Step 2: Convert to fraction form
    146.58/201.05 = 138.75/x
  3. Step 3: Cross multiply
    146.58x = 201.05 × 138.75
  4. Step 4: Simplify right side
    146.58x = 27,895.69
  5. Step 5: Solve for x
    x = 27,895.69/146.58
  6. Step 6: Final answer
    x = 190.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.