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Finding the Fourth Proportional to 146.25, 201.70 and 97.14

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Solution

The fourth proportional to 146.25, 201.70 and 97.14 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 201.70 = 97.14 : x
  2. Step 2: Convert to fraction form
    146.25/201.70 = 97.14/x
  3. Step 3: Cross multiply
    146.25x = 201.70 × 97.14
  4. Step 4: Simplify right side
    146.25x = 19,593.14
  5. Step 5: Solve for x
    x = 19,593.14/146.25
  6. Step 6: Final answer
    x = 133.97

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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.